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Finding the Third Proportional to 83,315 and 119,057

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Solution

The third proportional to 83,315 and 119,057 is: 170,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,315 : 119,057 = 119,057 : x
  2. Step 2: Convert to fraction form
    83,315/119,057 = 119,057/x
  3. Step 3: Cross multiply
    83,315x = 119,057 × 119,057
  4. Step 4: Simplify right side
    83,315x = 14,174,569,249
  5. Step 5: Solve for x
    x = 14,174,569,249/83,315
  6. Step 6: Final answer
    x = 170,132.26

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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.