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Finding the Third Proportional to 83,360 and 119,122

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Solution

The third proportional to 83,360 and 119,122 is: 170,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,360 : 119,122 = 119,122 : x
  2. Step 2: Convert to fraction form
    83,360/119,122 = 119,122/x
  3. Step 3: Cross multiply
    83,360x = 119,122 × 119,122
  4. Step 4: Simplify right side
    83,360x = 14,190,050,884
  5. Step 5: Solve for x
    x = 14,190,050,884/83,360
  6. Step 6: Final answer
    x = 170,226.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.