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Finding the Third Proportional to 74,049 and 105,531

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Solution

The third proportional to 74,049 and 105,531 is: 150,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,049 : 105,531 = 105,531 : x
  2. Step 2: Convert to fraction form
    74,049/105,531 = 105,531/x
  3. Step 3: Cross multiply
    74,049x = 105,531 × 105,531
  4. Step 4: Simplify right side
    74,049x = 11,136,791,961
  5. Step 5: Solve for x
    x = 11,136,791,961/74,049
  6. Step 6: Final answer
    x = 150,397.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.