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Finding the Third Proportional to 73,434 and 116,729

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Solution

The third proportional to 73,434 and 116,729 is: 185,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,434 : 116,729 = 116,729 : x
  2. Step 2: Convert to fraction form
    73,434/116,729 = 116,729/x
  3. Step 3: Cross multiply
    73,434x = 116,729 × 116,729
  4. Step 4: Simplify right side
    73,434x = 13,625,659,441
  5. Step 5: Solve for x
    x = 13,625,659,441/73,434
  6. Step 6: Final answer
    x = 185,549.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.