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Finding the Third Proportional to 53,217 and 80,047.62

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Solution

The third proportional to 53,217 and 80,047.62 is: 120,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,217 : 80,047.62 = 80,047.62 : x
  2. Step 2: Convert to fraction form
    53,217/80,047.62 = 80,047.62/x
  3. Step 3: Cross multiply
    53,217x = 80,047.62 × 80,047.62
  4. Step 4: Simplify right side
    53,217x = 6,407,621,017.40
  5. Step 5: Solve for x
    x = 6,407,621,017.40/53,217
  6. Step 6: Final answer
    x = 120,405.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.