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Finding the Third Proportional to 100,251 and 145,864.13

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Solution

The third proportional to 100,251 and 145,864.13 is: 212,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251 : 145,864.13 = 145,864.13 : x
  2. Step 2: Convert to fraction form
    100,251/145,864.13 = 145,864.13/x
  3. Step 3: Cross multiply
    100,251x = 145,864.13 × 145,864.13
  4. Step 4: Simplify right side
    100,251x = 21,276,342,962.02
  5. Step 5: Solve for x
    x = 21,276,342,962.02/100,251
  6. Step 6: Final answer
    x = 212,230.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.