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Finding the Third Proportional to 104,046.50 and 156,070

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Solution

The third proportional to 104,046.50 and 156,070 is: 234,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,046.50 : 156,070 = 156,070 : x
  2. Step 2: Convert to fraction form
    104,046.50/156,070 = 156,070/x
  3. Step 3: Cross multiply
    104,046.50x = 156,070 × 156,070
  4. Step 4: Simplify right side
    104,046.50x = 24,357,844,900
  5. Step 5: Solve for x
    x = 24,357,844,900/104,046.50
  6. Step 6: Final answer
    x = 234,105.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.