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Finding the Third Proportional to 83,358 and 119,115

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Solution

The third proportional to 83,358 and 119,115 is: 170,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,358 : 119,115 = 119,115 : x
  2. Step 2: Convert to fraction form
    83,358/119,115 = 119,115/x
  3. Step 3: Cross multiply
    83,358x = 119,115 × 119,115
  4. Step 4: Simplify right side
    83,358x = 14,188,383,225
  5. Step 5: Solve for x
    x = 14,188,383,225/83,358
  6. Step 6: Final answer
    x = 170,210.22

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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.