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Finding the Third Proportional to 108,734 and 153,120

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Solution

The third proportional to 108,734 and 153,120 is: 215,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,734 : 153,120 = 153,120 : x
  2. Step 2: Convert to fraction form
    108,734/153,120 = 153,120/x
  3. Step 3: Cross multiply
    108,734x = 153,120 × 153,120
  4. Step 4: Simplify right side
    108,734x = 23,445,734,400
  5. Step 5: Solve for x
    x = 23,445,734,400/108,734
  6. Step 6: Final answer
    x = 215,624.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.