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Finding the Third Proportional to 101,180.75 and 148,490.50

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Solution

The third proportional to 101,180.75 and 148,490.50 is: 217,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,180.75 : 148,490.50 = 148,490.50 : x
  2. Step 2: Convert to fraction form
    101,180.75/148,490.50 = 148,490.50/x
  3. Step 3: Cross multiply
    101,180.75x = 148,490.50 × 148,490.50
  4. Step 4: Simplify right side
    101,180.75x = 22,049,428,590.25
  5. Step 5: Solve for x
    x = 22,049,428,590.25/101,180.75
  6. Step 6: Final answer
    x = 217,921.18

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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.