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Finding the Third Proportional to 73,127 and 148,846

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Solution

The third proportional to 73,127 and 148,846 is: 302,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,127 : 148,846 = 148,846 : x
  2. Step 2: Convert to fraction form
    73,127/148,846 = 148,846/x
  3. Step 3: Cross multiply
    73,127x = 148,846 × 148,846
  4. Step 4: Simplify right side
    73,127x = 22,155,131,716
  5. Step 5: Solve for x
    x = 22,155,131,716/73,127
  6. Step 6: Final answer
    x = 302,967.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.