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Finding the Third Proportional to 42,582 and 99,459

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Solution

The third proportional to 42,582 and 99,459 is: 232,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,582 : 99,459 = 99,459 : x
  2. Step 2: Convert to fraction form
    42,582/99,459 = 99,459/x
  3. Step 3: Cross multiply
    42,582x = 99,459 × 99,459
  4. Step 4: Simplify right side
    42,582x = 9,892,092,681
  5. Step 5: Solve for x
    x = 9,892,092,681/42,582
  6. Step 6: Final answer
    x = 232,306.91

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.