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Finding the Third Proportional to 119,975 and 254,707

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Solution

The third proportional to 119,975 and 254,707 is: 540,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,975 : 254,707 = 254,707 : x
  2. Step 2: Convert to fraction form
    119,975/254,707 = 254,707/x
  3. Step 3: Cross multiply
    119,975x = 254,707 × 254,707
  4. Step 4: Simplify right side
    119,975x = 64,875,655,849
  5. Step 5: Solve for x
    x = 64,875,655,849/119,975
  6. Step 6: Final answer
    x = 540,743.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.