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Finding the Third Proportional to 72,358 and 113,167

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Solution

The third proportional to 72,358 and 113,167 is: 176,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,358 : 113,167 = 113,167 : x
  2. Step 2: Convert to fraction form
    72,358/113,167 = 113,167/x
  3. Step 3: Cross multiply
    72,358x = 113,167 × 113,167
  4. Step 4: Simplify right side
    72,358x = 12,806,769,889
  5. Step 5: Solve for x
    x = 12,806,769,889/72,358
  6. Step 6: Final answer
    x = 176,991.76

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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.