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Finding the Third Proportional to 61,786 and 95,596

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Solution

The third proportional to 61,786 and 95,596 is: 147,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,786 : 95,596 = 95,596 : x
  2. Step 2: Convert to fraction form
    61,786/95,596 = 95,596/x
  3. Step 3: Cross multiply
    61,786x = 95,596 × 95,596
  4. Step 4: Simplify right side
    61,786x = 9,138,595,216
  5. Step 5: Solve for x
    x = 9,138,595,216/61,786
  6. Step 6: Final answer
    x = 147,907.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.