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Finding the Third Proportional to 67,827.38 and 99,711

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Solution

The third proportional to 67,827.38 and 99,711 is: 146,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827.38 : 99,711 = 99,711 : x
  2. Step 2: Convert to fraction form
    67,827.38/99,711 = 99,711/x
  3. Step 3: Cross multiply
    67,827.38x = 99,711 × 99,711
  4. Step 4: Simplify right side
    67,827.38x = 9,942,283,521
  5. Step 5: Solve for x
    x = 9,942,283,521/67,827.38
  6. Step 6: Final answer
    x = 146,582.17

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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.