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Finding the Third Proportional to 96,566 and 153,657

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Solution

The third proportional to 96,566 and 153,657 is: 244,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,566 : 153,657 = 153,657 : x
  2. Step 2: Convert to fraction form
    96,566/153,657 = 153,657/x
  3. Step 3: Cross multiply
    96,566x = 153,657 × 153,657
  4. Step 4: Simplify right side
    96,566x = 23,610,473,649
  5. Step 5: Solve for x
    x = 23,610,473,649/96,566
  6. Step 6: Final answer
    x = 244,500.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.