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Finding the Third Proportional to 109,060 and 160,012

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Solution

The third proportional to 109,060 and 160,012 is: 234,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,060 : 160,012 = 160,012 : x
  2. Step 2: Convert to fraction form
    109,060/160,012 = 160,012/x
  3. Step 3: Cross multiply
    109,060x = 160,012 × 160,012
  4. Step 4: Simplify right side
    109,060x = 25,603,840,144
  5. Step 5: Solve for x
    x = 25,603,840,144/109,060
  6. Step 6: Final answer
    x = 234,768.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.