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Finding the Third Proportional to 96,641 and 144,511

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Solution

The third proportional to 96,641 and 144,511 is: 216,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,641 : 144,511 = 144,511 : x
  2. Step 2: Convert to fraction form
    96,641/144,511 = 144,511/x
  3. Step 3: Cross multiply
    96,641x = 144,511 × 144,511
  4. Step 4: Simplify right side
    96,641x = 20,883,429,121
  5. Step 5: Solve for x
    x = 20,883,429,121/96,641
  6. Step 6: Final answer
    x = 216,092.85

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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.