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Finding the Third Proportional to 101,001.50 and 149,549.50

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Solution

The third proportional to 101,001.50 and 149,549.50 is: 221,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,001.50 : 149,549.50 = 149,549.50 : x
  2. Step 2: Convert to fraction form
    101,001.50/149,549.50 = 149,549.50/x
  3. Step 3: Cross multiply
    101,001.50x = 149,549.50 × 149,549.50
  4. Step 4: Simplify right side
    101,001.50x = 22,365,052,950.25
  5. Step 5: Solve for x
    x = 22,365,052,950.25/101,001.50
  6. Step 6: Final answer
    x = 221,432.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.