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Finding the Third Proportional to 77,252 and 167,140

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Solution

The third proportional to 77,252 and 167,140 is: 361,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,252 : 167,140 = 167,140 : x
  2. Step 2: Convert to fraction form
    77,252/167,140 = 167,140/x
  3. Step 3: Cross multiply
    77,252x = 167,140 × 167,140
  4. Step 4: Simplify right side
    77,252x = 27,935,779,600
  5. Step 5: Solve for x
    x = 27,935,779,600/77,252
  6. Step 6: Final answer
    x = 361,618.85

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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.