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Finding the Third Proportional to 67,270 and 105,537

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Solution

The third proportional to 67,270 and 105,537 is: 165,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,270 : 105,537 = 105,537 : x
  2. Step 2: Convert to fraction form
    67,270/105,537 = 105,537/x
  3. Step 3: Cross multiply
    67,270x = 105,537 × 105,537
  4. Step 4: Simplify right side
    67,270x = 11,138,058,369
  5. Step 5: Solve for x
    x = 11,138,058,369/67,270
  6. Step 6: Final answer
    x = 165,572.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.