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Finding the Third Proportional to 120,169.13 and 186,816.38

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Solution

The third proportional to 120,169.13 and 186,816.38 is: 290,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169.13 : 186,816.38 = 186,816.38 : x
  2. Step 2: Convert to fraction form
    120,169.13/186,816.38 = 186,816.38/x
  3. Step 3: Cross multiply
    120,169.13x = 186,816.38 × 186,816.38
  4. Step 4: Simplify right side
    120,169.13x = 34,900,357,968.14
  5. Step 5: Solve for x
    x = 34,900,357,968.14/120,169.13
  6. Step 6: Final answer
    x = 290,427.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.