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Finding the Third Proportional to 74,877.12 and 162,873.70

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Solution

The third proportional to 74,877.12 and 162,873.70 is: 354,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,877.12 : 162,873.70 = 162,873.70 : x
  2. Step 2: Convert to fraction form
    74,877.12/162,873.70 = 162,873.70/x
  3. Step 3: Cross multiply
    74,877.12x = 162,873.70 × 162,873.70
  4. Step 4: Simplify right side
    74,877.12x = 26,527,843,169.65
  5. Step 5: Solve for x
    x = 26,527,843,169.65/74,877.12
  6. Step 6: Final answer
    x = 354,285.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.