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Finding the Third Proportional to 125,899.31 and 179,258.06

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Solution

The third proportional to 125,899.31 and 179,258.06 is: 255,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,899.31 : 179,258.06 = 179,258.06 : x
  2. Step 2: Convert to fraction form
    125,899.31/179,258.06 = 179,258.06/x
  3. Step 3: Cross multiply
    125,899.31x = 179,258.06 × 179,258.06
  4. Step 4: Simplify right side
    125,899.31x = 32,133,452,971.25
  5. Step 5: Solve for x
    x = 32,133,452,971.25/125,899.31
  6. Step 6: Final answer
    x = 255,231.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.