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Finding the Third Proportional to 58,752.50 and 88,259

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Solution

The third proportional to 58,752.50 and 88,259 is: 132,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752.50 : 88,259 = 88,259 : x
  2. Step 2: Convert to fraction form
    58,752.50/88,259 = 88,259/x
  3. Step 3: Cross multiply
    58,752.50x = 88,259 × 88,259
  4. Step 4: Simplify right side
    58,752.50x = 7,789,651,081
  5. Step 5: Solve for x
    x = 7,789,651,081/58,752.50
  6. Step 6: Final answer
    x = 132,584.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.