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Finding the Third Proportional to 67,870 and 112,468

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Solution

The third proportional to 67,870 and 112,468 is: 186,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,870 : 112,468 = 112,468 : x
  2. Step 2: Convert to fraction form
    67,870/112,468 = 112,468/x
  3. Step 3: Cross multiply
    67,870x = 112,468 × 112,468
  4. Step 4: Simplify right side
    67,870x = 12,649,051,024
  5. Step 5: Solve for x
    x = 12,649,051,024/67,870
  6. Step 6: Final answer
    x = 186,371.76

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.