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Finding the Third Proportional to 117,523.13 and 179,038.13

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Solution

The third proportional to 117,523.13 and 179,038.13 is: 272,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,523.13 : 179,038.13 = 179,038.13 : x
  2. Step 2: Convert to fraction form
    117,523.13/179,038.13 = 179,038.13/x
  3. Step 3: Cross multiply
    117,523.13x = 179,038.13 × 179,038.13
  4. Step 4: Simplify right side
    117,523.13x = 32,054,650,203.52
  5. Step 5: Solve for x
    x = 32,054,650,203.52/117,523.13
  6. Step 6: Final answer
    x = 272,751.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.