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Finding the Third Proportional to 61,422 and 95,596

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Solution

The third proportional to 61,422 and 95,596 is: 148,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,422 : 95,596 = 95,596 : x
  2. Step 2: Convert to fraction form
    61,422/95,596 = 95,596/x
  3. Step 3: Cross multiply
    61,422x = 95,596 × 95,596
  4. Step 4: Simplify right side
    61,422x = 9,138,595,216
  5. Step 5: Solve for x
    x = 9,138,595,216/61,422
  6. Step 6: Final answer
    x = 148,783.75

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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.