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Finding the Third Proportional to 75,877.88 and 166,210.13

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Solution

The third proportional to 75,877.88 and 166,210.13 is: 364,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.88 : 166,210.13 = 166,210.13 : x
  2. Step 2: Convert to fraction form
    75,877.88/166,210.13 = 166,210.13/x
  3. Step 3: Cross multiply
    75,877.88x = 166,210.13 × 166,210.13
  4. Step 4: Simplify right side
    75,877.88x = 27,625,805,652.52
  5. Step 5: Solve for x
    x = 27,625,805,652.52/75,877.88
  6. Step 6: Final answer
    x = 364,082.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.