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Finding the Third Proportional to 97,391 and 147,897

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Solution

The third proportional to 97,391 and 147,897 is: 224,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,391 : 147,897 = 147,897 : x
  2. Step 2: Convert to fraction form
    97,391/147,897 = 147,897/x
  3. Step 3: Cross multiply
    97,391x = 147,897 × 147,897
  4. Step 4: Simplify right side
    97,391x = 21,873,522,609
  5. Step 5: Solve for x
    x = 21,873,522,609/97,391
  6. Step 6: Final answer
    x = 224,594.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.