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Finding the Third Proportional to 95,374.13 and 147,447

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Solution

The third proportional to 95,374.13 and 147,447 is: 227,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,374.13 : 147,447 = 147,447 : x
  2. Step 2: Convert to fraction form
    95,374.13/147,447 = 147,447/x
  3. Step 3: Cross multiply
    95,374.13x = 147,447 × 147,447
  4. Step 4: Simplify right side
    95,374.13x = 21,740,617,809
  5. Step 5: Solve for x
    x = 21,740,617,809/95,374.13
  6. Step 6: Final answer
    x = 227,950.90

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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.