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Finding the Third Proportional to 125,036 and 178,666

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Solution

The third proportional to 125,036 and 178,666 is: 255,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,036 : 178,666 = 178,666 : x
  2. Step 2: Convert to fraction form
    125,036/178,666 = 178,666/x
  3. Step 3: Cross multiply
    125,036x = 178,666 × 178,666
  4. Step 4: Simplify right side
    125,036x = 31,921,539,556
  5. Step 5: Solve for x
    x = 31,921,539,556/125,036
  6. Step 6: Final answer
    x = 255,298.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.