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Finding the Third Proportional to 42,131 and 90,459

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Solution

The third proportional to 42,131 and 90,459 is: 194,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,131 : 90,459 = 90,459 : x
  2. Step 2: Convert to fraction form
    42,131/90,459 = 90,459/x
  3. Step 3: Cross multiply
    42,131x = 90,459 × 90,459
  4. Step 4: Simplify right side
    42,131x = 8,182,830,681
  5. Step 5: Solve for x
    x = 8,182,830,681/42,131
  6. Step 6: Final answer
    x = 194,223.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.