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Finding the Third Proportional to 96,577 and 142,073

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Solution

The third proportional to 96,577 and 142,073 is: 209,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,577 : 142,073 = 142,073 : x
  2. Step 2: Convert to fraction form
    96,577/142,073 = 142,073/x
  3. Step 3: Cross multiply
    96,577x = 142,073 × 142,073
  4. Step 4: Simplify right side
    96,577x = 20,184,737,329
  5. Step 5: Solve for x
    x = 20,184,737,329/96,577
  6. Step 6: Final answer
    x = 209,001.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.