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Finding the Third Proportional to 96,712 and 151,872

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Solution

The third proportional to 96,712 and 151,872 is: 238,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,712 : 151,872 = 151,872 : x
  2. Step 2: Convert to fraction form
    96,712/151,872 = 151,872/x
  3. Step 3: Cross multiply
    96,712x = 151,872 × 151,872
  4. Step 4: Simplify right side
    96,712x = 23,065,104,384
  5. Step 5: Solve for x
    x = 23,065,104,384/96,712
  6. Step 6: Final answer
    x = 238,492.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.