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Finding the Third Proportional to 70,716 and 152,502

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Solution

The third proportional to 70,716 and 152,502 is: 328,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,716 : 152,502 = 152,502 : x
  2. Step 2: Convert to fraction form
    70,716/152,502 = 152,502/x
  3. Step 3: Cross multiply
    70,716x = 152,502 × 152,502
  4. Step 4: Simplify right side
    70,716x = 23,256,860,004
  5. Step 5: Solve for x
    x = 23,256,860,004/70,716
  6. Step 6: Final answer
    x = 328,876.92

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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.