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Finding the Third Proportional to 66,352 and 97,592

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Solution

The third proportional to 66,352 and 97,592 is: 143,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,352 : 97,592 = 97,592 : x
  2. Step 2: Convert to fraction form
    66,352/97,592 = 97,592/x
  3. Step 3: Cross multiply
    66,352x = 97,592 × 97,592
  4. Step 4: Simplify right side
    66,352x = 9,524,198,464
  5. Step 5: Solve for x
    x = 9,524,198,464/66,352
  6. Step 6: Final answer
    x = 143,540.49

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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.