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Finding the Third Proportional to 121,363 and 182,043

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Solution

The third proportional to 121,363 and 182,043 is: 273,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,363 : 182,043 = 182,043 : x
  2. Step 2: Convert to fraction form
    121,363/182,043 = 182,043/x
  3. Step 3: Cross multiply
    121,363x = 182,043 × 182,043
  4. Step 4: Simplify right side
    121,363x = 33,139,653,849
  5. Step 5: Solve for x
    x = 33,139,653,849/121,363
  6. Step 6: Final answer
    x = 273,062.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.