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Finding the Third Proportional to 97,776 and 152,508

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Solution

The third proportional to 97,776 and 152,508 is: 237,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776 : 152,508 = 152,508 : x
  2. Step 2: Convert to fraction form
    97,776/152,508 = 152,508/x
  3. Step 3: Cross multiply
    97,776x = 152,508 × 152,508
  4. Step 4: Simplify right side
    97,776x = 23,258,690,064
  5. Step 5: Solve for x
    x = 23,258,690,064/97,776
  6. Step 6: Final answer
    x = 237,877.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.