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Finding the Third Proportional to 123,778 and 193,061

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Solution

The third proportional to 123,778 and 193,061 is: 301,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,778 : 193,061 = 193,061 : x
  2. Step 2: Convert to fraction form
    123,778/193,061 = 193,061/x
  3. Step 3: Cross multiply
    123,778x = 193,061 × 193,061
  4. Step 4: Simplify right side
    123,778x = 37,272,549,721
  5. Step 5: Solve for x
    x = 37,272,549,721/123,778
  6. Step 6: Final answer
    x = 301,124.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.