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Finding the Third Proportional to 73,782 and 112,070

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Solution

The third proportional to 73,782 and 112,070 is: 170,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782 : 112,070 = 112,070 : x
  2. Step 2: Convert to fraction form
    73,782/112,070 = 112,070/x
  3. Step 3: Cross multiply
    73,782x = 112,070 × 112,070
  4. Step 4: Simplify right side
    73,782x = 12,559,684,900
  5. Step 5: Solve for x
    x = 12,559,684,900/73,782
  6. Step 6: Final answer
    x = 170,226.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.