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Finding the Third Proportional to 48,387 and 106,332

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Solution

The third proportional to 48,387 and 106,332 is: 233,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,387 : 106,332 = 106,332 : x
  2. Step 2: Convert to fraction form
    48,387/106,332 = 106,332/x
  3. Step 3: Cross multiply
    48,387x = 106,332 × 106,332
  4. Step 4: Simplify right side
    48,387x = 11,306,494,224
  5. Step 5: Solve for x
    x = 11,306,494,224/48,387
  6. Step 6: Final answer
    x = 233,668.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.