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Finding the Third Proportional to 48,143 and 72,363

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Solution

The third proportional to 48,143 and 72,363 is: 108,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,143 : 72,363 = 72,363 : x
  2. Step 2: Convert to fraction form
    48,143/72,363 = 72,363/x
  3. Step 3: Cross multiply
    48,143x = 72,363 × 72,363
  4. Step 4: Simplify right side
    48,143x = 5,236,403,769
  5. Step 5: Solve for x
    x = 5,236,403,769/48,143
  6. Step 6: Final answer
    x = 108,767.71

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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.