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Finding the Third Proportional to 64,434.75 and 98,565.75

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Solution

The third proportional to 64,434.75 and 98,565.75 is: 150,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,434.75 : 98,565.75 = 98,565.75 : x
  2. Step 2: Convert to fraction form
    64,434.75/98,565.75 = 98,565.75/x
  3. Step 3: Cross multiply
    64,434.75x = 98,565.75 × 98,565.75
  4. Step 4: Simplify right side
    64,434.75x = 9,715,207,073.06
  5. Step 5: Solve for x
    x = 9,715,207,073.06/64,434.75
  6. Step 6: Final answer
    x = 150,775.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.