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Finding the Third Proportional to 83,621.06 and 119,203.59

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Solution

The third proportional to 83,621.06 and 119,203.59 is: 169,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,621.06 : 119,203.59 = 119,203.59 : x
  2. Step 2: Convert to fraction form
    83,621.06/119,203.59 = 119,203.59/x
  3. Step 3: Cross multiply
    83,621.06x = 119,203.59 × 119,203.59
  4. Step 4: Simplify right side
    83,621.06x = 14,209,496,762.92
  5. Step 5: Solve for x
    x = 14,209,496,762.92/83,621.06
  6. Step 6: Final answer
    x = 169,927.24

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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.