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Finding the Third Proportional to 75,715.88 and 116,732.81

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Solution

The third proportional to 75,715.88 and 116,732.81 is: 179,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,715.88 : 116,732.81 = 116,732.81 : x
  2. Step 2: Convert to fraction form
    75,715.88/116,732.81 = 116,732.81/x
  3. Step 3: Cross multiply
    75,715.88x = 116,732.81 × 116,732.81
  4. Step 4: Simplify right side
    75,715.88x = 13,626,549,514.16
  5. Step 5: Solve for x
    x = 13,626,549,514.16/75,715.88
  6. Step 6: Final answer
    x = 179,969.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.