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Finding the Third Proportional to 101,556 and 148,864

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Solution

The third proportional to 101,556 and 148,864 is: 218,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,556 : 148,864 = 148,864 : x
  2. Step 2: Convert to fraction form
    101,556/148,864 = 148,864/x
  3. Step 3: Cross multiply
    101,556x = 148,864 × 148,864
  4. Step 4: Simplify right side
    101,556x = 22,160,490,496
  5. Step 5: Solve for x
    x = 22,160,490,496/101,556
  6. Step 6: Final answer
    x = 218,209.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.