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Finding the Third Proportional to 100,521 and 155,708.25

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Solution

The third proportional to 100,521 and 155,708.25 is: 241,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521 : 155,708.25 = 155,708.25 : x
  2. Step 2: Convert to fraction form
    100,521/155,708.25 = 155,708.25/x
  3. Step 3: Cross multiply
    100,521x = 155,708.25 × 155,708.25
  4. Step 4: Simplify right side
    100,521x = 24,245,059,118.06
  5. Step 5: Solve for x
    x = 24,245,059,118.06/100,521
  6. Step 6: Final answer
    x = 241,193.97

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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.