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Finding the Third Proportional to 71,488 and 157,076

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Solution

The third proportional to 71,488 and 157,076 is: 345,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,488 : 157,076 = 157,076 : x
  2. Step 2: Convert to fraction form
    71,488/157,076 = 157,076/x
  3. Step 3: Cross multiply
    71,488x = 157,076 × 157,076
  4. Step 4: Simplify right side
    71,488x = 24,672,869,776
  5. Step 5: Solve for x
    x = 24,672,869,776/71,488
  6. Step 6: Final answer
    x = 345,133.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.