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Finding the Third Proportional to 57,846.66 and 87,386.34

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Solution

The third proportional to 57,846.66 and 87,386.34 is: 132,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.66 : 87,386.34 = 87,386.34 : x
  2. Step 2: Convert to fraction form
    57,846.66/87,386.34 = 87,386.34/x
  3. Step 3: Cross multiply
    57,846.66x = 87,386.34 × 87,386.34
  4. Step 4: Simplify right side
    57,846.66x = 7,636,373,073.99
  5. Step 5: Solve for x
    x = 7,636,373,073.99/57,846.66
  6. Step 6: Final answer
    x = 132,010.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.