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Finding the Third Proportional to 138,522 and 184,869

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Solution

The third proportional to 138,522 and 184,869 is: 246,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,522 : 184,869 = 184,869 : x
  2. Step 2: Convert to fraction form
    138,522/184,869 = 184,869/x
  3. Step 3: Cross multiply
    138,522x = 184,869 × 184,869
  4. Step 4: Simplify right side
    138,522x = 34,176,547,161
  5. Step 5: Solve for x
    x = 34,176,547,161/138,522
  6. Step 6: Final answer
    x = 246,722.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.