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Finding the Third Proportional to 75,045.23 and 114,115.08

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Solution

The third proportional to 75,045.23 and 114,115.08 is: 173,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,045.23 : 114,115.08 = 114,115.08 : x
  2. Step 2: Convert to fraction form
    75,045.23/114,115.08 = 114,115.08/x
  3. Step 3: Cross multiply
    75,045.23x = 114,115.08 × 114,115.08
  4. Step 4: Simplify right side
    75,045.23x = 13,022,251,055.47
  5. Step 5: Solve for x
    x = 13,022,251,055.47/75,045.23
  6. Step 6: Final answer
    x = 173,525.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.