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Finding the Third Proportional to 36,134 and 74,572

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Solution

The third proportional to 36,134 and 74,572 is: 153,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,134 : 74,572 = 74,572 : x
  2. Step 2: Convert to fraction form
    36,134/74,572 = 74,572/x
  3. Step 3: Cross multiply
    36,134x = 74,572 × 74,572
  4. Step 4: Simplify right side
    36,134x = 5,560,983,184
  5. Step 5: Solve for x
    x = 5,560,983,184/36,134
  6. Step 6: Final answer
    x = 153,898.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.