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Finding the Third Proportional to 58,785.75 and 89,565.75

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Solution

The third proportional to 58,785.75 and 89,565.75 is: 136,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,785.75 : 89,565.75 = 89,565.75 : x
  2. Step 2: Convert to fraction form
    58,785.75/89,565.75 = 89,565.75/x
  3. Step 3: Cross multiply
    58,785.75x = 89,565.75 × 89,565.75
  4. Step 4: Simplify right side
    58,785.75x = 8,022,023,573.06
  5. Step 5: Solve for x
    x = 8,022,023,573.06/58,785.75
  6. Step 6: Final answer
    x = 136,462.04

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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.