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Finding the Third Proportional to 111,017.25 and 169,300.13

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Solution

The third proportional to 111,017.25 and 169,300.13 is: 258,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,017.25 : 169,300.13 = 169,300.13 : x
  2. Step 2: Convert to fraction form
    111,017.25/169,300.13 = 169,300.13/x
  3. Step 3: Cross multiply
    111,017.25x = 169,300.13 × 169,300.13
  4. Step 4: Simplify right side
    111,017.25x = 28,662,532,325.02
  5. Step 5: Solve for x
    x = 28,662,532,325.02/111,017.25
  6. Step 6: Final answer
    x = 258,180.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.