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Finding the Third Proportional to 70,410.20 and 152,148.38

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Solution

The third proportional to 70,410.20 and 152,148.38 is: 328,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,410.20 : 152,148.38 = 152,148.38 : x
  2. Step 2: Convert to fraction form
    70,410.20/152,148.38 = 152,148.38/x
  3. Step 3: Cross multiply
    70,410.20x = 152,148.38 × 152,148.38
  4. Step 4: Simplify right side
    70,410.20x = 23,149,128,015.14
  5. Step 5: Solve for x
    x = 23,149,128,015.14/70,410.20
  6. Step 6: Final answer
    x = 328,775.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.