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Finding the Third Proportional to 75,588.38 and 109,265.63

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Solution

The third proportional to 75,588.38 and 109,265.63 is: 157,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,588.38 : 109,265.63 = 109,265.63 : x
  2. Step 2: Convert to fraction form
    75,588.38/109,265.63 = 109,265.63/x
  3. Step 3: Cross multiply
    75,588.38x = 109,265.63 × 109,265.63
  4. Step 4: Simplify right side
    75,588.38x = 11,938,976,806.64
  5. Step 5: Solve for x
    x = 11,938,976,806.64/75,588.38
  6. Step 6: Final answer
    x = 157,947.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.