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Finding the Third Proportional to 71,958 and 157,488

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Solution

The third proportional to 71,958 and 157,488 is: 344,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,958 : 157,488 = 157,488 : x
  2. Step 2: Convert to fraction form
    71,958/157,488 = 157,488/x
  3. Step 3: Cross multiply
    71,958x = 157,488 × 157,488
  4. Step 4: Simplify right side
    71,958x = 24,802,470,144
  5. Step 5: Solve for x
    x = 24,802,470,144/71,958
  6. Step 6: Final answer
    x = 344,679.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.