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Finding the Third Proportional to 64,539 and 94,909

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Solution

The third proportional to 64,539 and 94,909 is: 139,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,539 : 94,909 = 94,909 : x
  2. Step 2: Convert to fraction form
    64,539/94,909 = 94,909/x
  3. Step 3: Cross multiply
    64,539x = 94,909 × 94,909
  4. Step 4: Simplify right side
    64,539x = 9,007,718,281
  5. Step 5: Solve for x
    x = 9,007,718,281/64,539
  6. Step 6: Final answer
    x = 139,570.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.