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Finding the Third Proportional to 113,009.63 and 175,096.13

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Solution

The third proportional to 113,009.63 and 175,096.13 is: 271,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,009.63 : 175,096.13 = 175,096.13 : x
  2. Step 2: Convert to fraction form
    113,009.63/175,096.13 = 175,096.13/x
  3. Step 3: Cross multiply
    113,009.63x = 175,096.13 × 175,096.13
  4. Step 4: Simplify right side
    113,009.63x = 30,658,652,990.02
  5. Step 5: Solve for x
    x = 30,658,652,990.02/113,009.63
  6. Step 6: Final answer
    x = 271,292.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.