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Finding the Third Proportional to 96,532 and 144,604

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Solution

The third proportional to 96,532 and 144,604 is: 216,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,532 : 144,604 = 144,604 : x
  2. Step 2: Convert to fraction form
    96,532/144,604 = 144,604/x
  3. Step 3: Cross multiply
    96,532x = 144,604 × 144,604
  4. Step 4: Simplify right side
    96,532x = 20,910,316,816
  5. Step 5: Solve for x
    x = 20,910,316,816/96,532
  6. Step 6: Final answer
    x = 216,615.39

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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.