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Finding the Third Proportional to 70,230.38 and 152,124.75

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Solution

The third proportional to 70,230.38 and 152,124.75 is: 329,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,230.38 : 152,124.75 = 152,124.75 : x
  2. Step 2: Convert to fraction form
    70,230.38/152,124.75 = 152,124.75/x
  3. Step 3: Cross multiply
    70,230.38x = 152,124.75 × 152,124.75
  4. Step 4: Simplify right side
    70,230.38x = 23,141,939,562.56
  5. Step 5: Solve for x
    x = 23,141,939,562.56/70,230.38
  6. Step 6: Final answer
    x = 329,514.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.