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Finding the Third Proportional to 100,042 and 152,604

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Solution

The third proportional to 100,042 and 152,604 is: 232,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042 : 152,604 = 152,604 : x
  2. Step 2: Convert to fraction form
    100,042/152,604 = 152,604/x
  3. Step 3: Cross multiply
    100,042x = 152,604 × 152,604
  4. Step 4: Simplify right side
    100,042x = 23,287,980,816
  5. Step 5: Solve for x
    x = 23,287,980,816/100,042
  6. Step 6: Final answer
    x = 232,782.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.