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Finding the Third Proportional to 95,427 and 146,740.50

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Solution

The third proportional to 95,427 and 146,740.50 is: 225,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,427 : 146,740.50 = 146,740.50 : x
  2. Step 2: Convert to fraction form
    95,427/146,740.50 = 146,740.50/x
  3. Step 3: Cross multiply
    95,427x = 146,740.50 × 146,740.50
  4. Step 4: Simplify right side
    95,427x = 21,532,774,340.25
  5. Step 5: Solve for x
    x = 21,532,774,340.25/95,427
  6. Step 6: Final answer
    x = 225,646.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.