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Finding the Third Proportional to 48,648 and 103,572

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Solution

The third proportional to 48,648 and 103,572 is: 220,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,648 : 103,572 = 103,572 : x
  2. Step 2: Convert to fraction form
    48,648/103,572 = 103,572/x
  3. Step 3: Cross multiply
    48,648x = 103,572 × 103,572
  4. Step 4: Simplify right side
    48,648x = 10,727,159,184
  5. Step 5: Solve for x
    x = 10,727,159,184/48,648
  6. Step 6: Final answer
    x = 220,505.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.