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Finding the Third Proportional to 71,748.12 and 157,752.33

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Solution

The third proportional to 71,748.12 and 157,752.33 is: 346,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,748.12 : 157,752.33 = 157,752.33 : x
  2. Step 2: Convert to fraction form
    71,748.12/157,752.33 = 157,752.33/x
  3. Step 3: Cross multiply
    71,748.12x = 157,752.33 × 157,752.33
  4. Step 4: Simplify right side
    71,748.12x = 24,885,796,104.53
  5. Step 5: Solve for x
    x = 24,885,796,104.53/71,748.12
  6. Step 6: Final answer
    x = 346,849.44

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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.