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Finding the Third Proportional to 57,721.13 and 92,208.75

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Solution

The third proportional to 57,721.13 and 92,208.75 is: 147,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,721.13 : 92,208.75 = 92,208.75 : x
  2. Step 2: Convert to fraction form
    57,721.13/92,208.75 = 92,208.75/x
  3. Step 3: Cross multiply
    57,721.13x = 92,208.75 × 92,208.75
  4. Step 4: Simplify right side
    57,721.13x = 8,502,453,576.56
  5. Step 5: Solve for x
    x = 8,502,453,576.56/57,721.13
  6. Step 6: Final answer
    x = 147,302.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.