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Finding the Third Proportional to 72,656 and 113,288

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Solution

The third proportional to 72,656 and 113,288 is: 176,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,656 : 113,288 = 113,288 : x
  2. Step 2: Convert to fraction form
    72,656/113,288 = 113,288/x
  3. Step 3: Cross multiply
    72,656x = 113,288 × 113,288
  4. Step 4: Simplify right side
    72,656x = 12,834,170,944
  5. Step 5: Solve for x
    x = 12,834,170,944/72,656
  6. Step 6: Final answer
    x = 176,642.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.