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Finding the Third Proportional to 113,574.38 and 175,099.88

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Solution

The third proportional to 113,574.38 and 175,099.88 is: 269,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,574.38 : 175,099.88 = 175,099.88 : x
  2. Step 2: Convert to fraction form
    113,574.38/175,099.88 = 175,099.88/x
  3. Step 3: Cross multiply
    113,574.38x = 175,099.88 × 175,099.88
  4. Step 4: Simplify right side
    113,574.38x = 30,659,966,225.02
  5. Step 5: Solve for x
    x = 30,659,966,225.02/113,574.38
  6. Step 6: Final answer
    x = 269,954.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.