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Finding the Third Proportional to 58,513 and 88,181

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Solution

The third proportional to 58,513 and 88,181 is: 132,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,513 : 88,181 = 88,181 : x
  2. Step 2: Convert to fraction form
    58,513/88,181 = 88,181/x
  3. Step 3: Cross multiply
    58,513x = 88,181 × 88,181
  4. Step 4: Simplify right side
    58,513x = 7,775,888,761
  5. Step 5: Solve for x
    x = 7,775,888,761/58,513
  6. Step 6: Final answer
    x = 132,891.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.