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Finding the Third Proportional to 77,418 and 101,242

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Solution

The third proportional to 77,418 and 101,242 is: 132,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,418 : 101,242 = 101,242 : x
  2. Step 2: Convert to fraction form
    77,418/101,242 = 101,242/x
  3. Step 3: Cross multiply
    77,418x = 101,242 × 101,242
  4. Step 4: Simplify right side
    77,418x = 10,249,942,564
  5. Step 5: Solve for x
    x = 10,249,942,564/77,418
  6. Step 6: Final answer
    x = 132,397.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.