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Finding the Third Proportional to 55,074 and 87,532

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Solution

The third proportional to 55,074 and 87,532 is: 139,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,074 : 87,532 = 87,532 : x
  2. Step 2: Convert to fraction form
    55,074/87,532 = 87,532/x
  3. Step 3: Cross multiply
    55,074x = 87,532 × 87,532
  4. Step 4: Simplify right side
    55,074x = 7,661,851,024
  5. Step 5: Solve for x
    x = 7,661,851,024/55,074
  6. Step 6: Final answer
    x = 139,119.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.