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Finding the Third Proportional to 67,959 and 112,316.63

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Solution

The third proportional to 67,959 and 112,316.63 is: 185,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,959 : 112,316.63 = 112,316.63 : x
  2. Step 2: Convert to fraction form
    67,959/112,316.63 = 112,316.63/x
  3. Step 3: Cross multiply
    67,959x = 112,316.63 × 112,316.63
  4. Step 4: Simplify right side
    67,959x = 12,615,024,251.39
  5. Step 5: Solve for x
    x = 12,615,024,251.39/67,959
  6. Step 6: Final answer
    x = 185,626.98

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.