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Finding the Third Proportional to 59,128 and 88,259

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Solution

The third proportional to 59,128 and 88,259 is: 131,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,128 : 88,259 = 88,259 : x
  2. Step 2: Convert to fraction form
    59,128/88,259 = 88,259/x
  3. Step 3: Cross multiply
    59,128x = 88,259 × 88,259
  4. Step 4: Simplify right side
    59,128x = 7,789,651,081
  5. Step 5: Solve for x
    x = 7,789,651,081/59,128
  6. Step 6: Final answer
    x = 131,742.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.