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Finding the Third Proportional to 72,818.38 and 98,382

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Solution

The third proportional to 72,818.38 and 98,382 is: 132,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,818.38 : 98,382 = 98,382 : x
  2. Step 2: Convert to fraction form
    72,818.38/98,382 = 98,382/x
  3. Step 3: Cross multiply
    72,818.38x = 98,382 × 98,382
  4. Step 4: Simplify right side
    72,818.38x = 9,679,017,924
  5. Step 5: Solve for x
    x = 9,679,017,924/72,818.38
  6. Step 6: Final answer
    x = 132,919.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.