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Finding the Third Proportional to 72,111 and 98,931

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Solution

The third proportional to 72,111 and 98,931 is: 135,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,111 : 98,931 = 98,931 : x
  2. Step 2: Convert to fraction form
    72,111/98,931 = 98,931/x
  3. Step 3: Cross multiply
    72,111x = 98,931 × 98,931
  4. Step 4: Simplify right side
    72,111x = 9,787,342,761
  5. Step 5: Solve for x
    x = 9,787,342,761/72,111
  6. Step 6: Final answer
    x = 135,726.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.