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Finding the Third Proportional to 65,710.13 and 102,945.38

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Solution

The third proportional to 65,710.13 and 102,945.38 is: 161,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.13 : 102,945.38 = 102,945.38 : x
  2. Step 2: Convert to fraction form
    65,710.13/102,945.38 = 102,945.38/x
  3. Step 3: Cross multiply
    65,710.13x = 102,945.38 × 102,945.38
  4. Step 4: Simplify right side
    65,710.13x = 10,597,750,233.89
  5. Step 5: Solve for x
    x = 10,597,750,233.89/65,710.13
  6. Step 6: Final answer
    x = 161,280.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.