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Finding the Third Proportional to 74,250 and 114,891.75

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Solution

The third proportional to 74,250 and 114,891.75 is: 177,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,250 : 114,891.75 = 114,891.75 : x
  2. Step 2: Convert to fraction form
    74,250/114,891.75 = 114,891.75/x
  3. Step 3: Cross multiply
    74,250x = 114,891.75 × 114,891.75
  4. Step 4: Simplify right side
    74,250x = 13,200,114,218.06
  5. Step 5: Solve for x
    x = 13,200,114,218.06/74,250
  6. Step 6: Final answer
    x = 177,779.32

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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.