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Finding the Third Proportional to 57,058.88 and 83,475.56

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Solution

The third proportional to 57,058.88 and 83,475.56 is: 122,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058.88 : 83,475.56 = 83,475.56 : x
  2. Step 2: Convert to fraction form
    57,058.88/83,475.56 = 83,475.56/x
  3. Step 3: Cross multiply
    57,058.88x = 83,475.56 × 83,475.56
  4. Step 4: Simplify right side
    57,058.88x = 6,968,169,534.69
  5. Step 5: Solve for x
    x = 6,968,169,534.69/57,058.88
  6. Step 6: Final answer
    x = 122,122.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.