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Finding the Third Proportional to 88,448 and 125,036

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Solution

The third proportional to 88,448 and 125,036 is: 176,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,448 : 125,036 = 125,036 : x
  2. Step 2: Convert to fraction form
    88,448/125,036 = 125,036/x
  3. Step 3: Cross multiply
    88,448x = 125,036 × 125,036
  4. Step 4: Simplify right side
    88,448x = 15,634,001,296
  5. Step 5: Solve for x
    x = 15,634,001,296/88,448
  6. Step 6: Final answer
    x = 176,759.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.