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Finding the Third Proportional to 103,734 and 160,206

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Solution

The third proportional to 103,734 and 160,206 is: 247,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,734 : 160,206 = 160,206 : x
  2. Step 2: Convert to fraction form
    103,734/160,206 = 160,206/x
  3. Step 3: Cross multiply
    103,734x = 160,206 × 160,206
  4. Step 4: Simplify right side
    103,734x = 25,665,962,436
  5. Step 5: Solve for x
    x = 25,665,962,436/103,734
  6. Step 6: Final answer
    x = 247,420.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.