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Finding the Third Proportional to 52,472 and 83,221

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Solution

The third proportional to 52,472 and 83,221 is: 131,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472 : 83,221 = 83,221 : x
  2. Step 2: Convert to fraction form
    52,472/83,221 = 83,221/x
  3. Step 3: Cross multiply
    52,472x = 83,221 × 83,221
  4. Step 4: Simplify right side
    52,472x = 6,925,734,841
  5. Step 5: Solve for x
    x = 6,925,734,841/52,472
  6. Step 6: Final answer
    x = 131,989.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.