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Finding the Third Proportional to 34,165.55 and 75,055.36

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Solution

The third proportional to 34,165.55 and 75,055.36 is: 164,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.55 : 75,055.36 = 75,055.36 : x
  2. Step 2: Convert to fraction form
    34,165.55/75,055.36 = 75,055.36/x
  3. Step 3: Cross multiply
    34,165.55x = 75,055.36 × 75,055.36
  4. Step 4: Simplify right side
    34,165.55x = 5,633,306,970.91
  5. Step 5: Solve for x
    x = 5,633,306,970.91/34,165.55
  6. Step 6: Final answer
    x = 164,882.68

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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.