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Finding the Third Proportional to 70,821 and 152,167.13

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Solution

The third proportional to 70,821 and 152,167.13 is: 326,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821 : 152,167.13 = 152,167.13 : x
  2. Step 2: Convert to fraction form
    70,821/152,167.13 = 152,167.13/x
  3. Step 3: Cross multiply
    70,821x = 152,167.13 × 152,167.13
  4. Step 4: Simplify right side
    70,821x = 23,154,833,930.77
  5. Step 5: Solve for x
    x = 23,154,833,930.77/70,821
  6. Step 6: Final answer
    x = 326,948.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.