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Finding the Third Proportional to 71,385 and 96,157

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Solution

The third proportional to 71,385 and 96,157 is: 129,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385 : 96,157 = 96,157 : x
  2. Step 2: Convert to fraction form
    71,385/96,157 = 96,157/x
  3. Step 3: Cross multiply
    71,385x = 96,157 × 96,157
  4. Step 4: Simplify right side
    71,385x = 9,246,168,649
  5. Step 5: Solve for x
    x = 9,246,168,649/71,385
  6. Step 6: Final answer
    x = 129,525.37

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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.