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Finding the Third Proportional to 52,668 and 112,717.50

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Solution

The third proportional to 52,668 and 112,717.50 is: 241,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,668 : 112,717.50 = 112,717.50 : x
  2. Step 2: Convert to fraction form
    52,668/112,717.50 = 112,717.50/x
  3. Step 3: Cross multiply
    52,668x = 112,717.50 × 112,717.50
  4. Step 4: Simplify right side
    52,668x = 12,705,234,806.25
  5. Step 5: Solve for x
    x = 12,705,234,806.25/52,668
  6. Step 6: Final answer
    x = 241,232.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.