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Finding the Third Proportional to 97,280 and 131,484

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Solution

The third proportional to 97,280 and 131,484 is: 177,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,280 : 131,484 = 131,484 : x
  2. Step 2: Convert to fraction form
    97,280/131,484 = 131,484/x
  3. Step 3: Cross multiply
    97,280x = 131,484 × 131,484
  4. Step 4: Simplify right side
    97,280x = 17,288,042,256
  5. Step 5: Solve for x
    x = 17,288,042,256/97,280
  6. Step 6: Final answer
    x = 177,714.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.