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Finding the Third Proportional to 49,953 and 75,459

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Solution

The third proportional to 49,953 and 75,459 is: 113,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,953 : 75,459 = 75,459 : x
  2. Step 2: Convert to fraction form
    49,953/75,459 = 75,459/x
  3. Step 3: Cross multiply
    49,953x = 75,459 × 75,459
  4. Step 4: Simplify right side
    49,953x = 5,694,060,681
  5. Step 5: Solve for x
    x = 5,694,060,681/49,953
  6. Step 6: Final answer
    x = 113,988.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.