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Finding the Third Proportional to 70,704 and 152,478

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Solution

The third proportional to 70,704 and 152,478 is: 328,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,704 : 152,478 = 152,478 : x
  2. Step 2: Convert to fraction form
    70,704/152,478 = 152,478/x
  3. Step 3: Cross multiply
    70,704x = 152,478 × 152,478
  4. Step 4: Simplify right side
    70,704x = 23,249,540,484
  5. Step 5: Solve for x
    x = 23,249,540,484/70,704
  6. Step 6: Final answer
    x = 328,829.21

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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.