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Finding the Third Proportional to 71,850 and 96,657

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Solution

The third proportional to 71,850 and 96,657 is: 130,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,850 : 96,657 = 96,657 : x
  2. Step 2: Convert to fraction form
    71,850/96,657 = 96,657/x
  3. Step 3: Cross multiply
    71,850x = 96,657 × 96,657
  4. Step 4: Simplify right side
    71,850x = 9,342,575,649
  5. Step 5: Solve for x
    x = 9,342,575,649/71,850
  6. Step 6: Final answer
    x = 130,028.89

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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.