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Finding the Third Proportional to 59,167.13 and 130,165.31

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Solution

The third proportional to 59,167.13 and 130,165.31 is: 286,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,167.13 : 130,165.31 = 130,165.31 : x
  2. Step 2: Convert to fraction form
    59,167.13/130,165.31 = 130,165.31/x
  3. Step 3: Cross multiply
    59,167.13x = 130,165.31 × 130,165.31
  4. Step 4: Simplify right side
    59,167.13x = 16,943,008,578.22
  5. Step 5: Solve for x
    x = 16,943,008,578.22/59,167.13
  6. Step 6: Final answer
    x = 286,358.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.