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Finding the Third Proportional to 48,107 and 75,572

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Solution

The third proportional to 48,107 and 75,572 is: 118,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,107 : 75,572 = 75,572 : x
  2. Step 2: Convert to fraction form
    48,107/75,572 = 75,572/x
  3. Step 3: Cross multiply
    48,107x = 75,572 × 75,572
  4. Step 4: Simplify right side
    48,107x = 5,711,127,184
  5. Step 5: Solve for x
    x = 5,711,127,184/48,107
  6. Step 6: Final answer
    x = 118,717.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.