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Finding the Third Proportional to 97,578 and 132,543

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Solution

The third proportional to 97,578 and 132,543 is: 180,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,578 : 132,543 = 132,543 : x
  2. Step 2: Convert to fraction form
    97,578/132,543 = 132,543/x
  3. Step 3: Cross multiply
    97,578x = 132,543 × 132,543
  4. Step 4: Simplify right side
    97,578x = 17,567,646,849
  5. Step 5: Solve for x
    x = 17,567,646,849/97,578
  6. Step 6: Final answer
    x = 180,036.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.