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Finding the Third Proportional to 64,624 and 99,864

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Solution

The third proportional to 64,624 and 99,864 is: 154,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,624 : 99,864 = 99,864 : x
  2. Step 2: Convert to fraction form
    64,624/99,864 = 99,864/x
  3. Step 3: Cross multiply
    64,624x = 99,864 × 99,864
  4. Step 4: Simplify right side
    64,624x = 9,972,818,496
  5. Step 5: Solve for x
    x = 9,972,818,496/64,624
  6. Step 6: Final answer
    x = 154,320.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.