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Finding the Third Proportional to 69,864.38 and 98,762.06

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Solution

The third proportional to 69,864.38 and 98,762.06 is: 139,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,864.38 : 98,762.06 = 98,762.06 : x
  2. Step 2: Convert to fraction form
    69,864.38/98,762.06 = 98,762.06/x
  3. Step 3: Cross multiply
    69,864.38x = 98,762.06 × 98,762.06
  4. Step 4: Simplify right side
    69,864.38x = 9,753,944,989.25
  5. Step 5: Solve for x
    x = 9,753,944,989.25/69,864.38
  6. Step 6: Final answer
    x = 139,612.57

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.