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Finding the Third Proportional to 105,291 and 167,373

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Solution

The third proportional to 105,291 and 167,373 is: 266,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,291 : 167,373 = 167,373 : x
  2. Step 2: Convert to fraction form
    105,291/167,373 = 167,373/x
  3. Step 3: Cross multiply
    105,291x = 167,373 × 167,373
  4. Step 4: Simplify right side
    105,291x = 28,013,721,129
  5. Step 5: Solve for x
    x = 28,013,721,129/105,291
  6. Step 6: Final answer
    x = 266,059.98

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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.