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Finding the Third Proportional to 65,252.25 and 103,710.38

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Solution

The third proportional to 65,252.25 and 103,710.38 is: 164,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.25 : 103,710.38 = 103,710.38 : x
  2. Step 2: Convert to fraction form
    65,252.25/103,710.38 = 103,710.38/x
  3. Step 3: Cross multiply
    65,252.25x = 103,710.38 × 103,710.38
  4. Step 4: Simplify right side
    65,252.25x = 10,755,841,882.64
  5. Step 5: Solve for x
    x = 10,755,841,882.64/65,252.25
  6. Step 6: Final answer
    x = 164,834.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.