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Finding the Third Proportional to 60,409 and 125,066

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Solution

The third proportional to 60,409 and 125,066 is: 258,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,409 : 125,066 = 125,066 : x
  2. Step 2: Convert to fraction form
    60,409/125,066 = 125,066/x
  3. Step 3: Cross multiply
    60,409x = 125,066 × 125,066
  4. Step 4: Simplify right side
    60,409x = 15,641,504,356
  5. Step 5: Solve for x
    x = 15,641,504,356/60,409
  6. Step 6: Final answer
    x = 258,926.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.