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Finding the Third Proportional to 57,358.13 and 84,348.84

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Solution

The third proportional to 57,358.13 and 84,348.84 is: 124,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,358.13 : 84,348.84 = 84,348.84 : x
  2. Step 2: Convert to fraction form
    57,358.13/84,348.84 = 84,348.84/x
  3. Step 3: Cross multiply
    57,358.13x = 84,348.84 × 84,348.84
  4. Step 4: Simplify right side
    57,358.13x = 7,114,727,441.96
  5. Step 5: Solve for x
    x = 7,114,727,441.96/57,358.13
  6. Step 6: Final answer
    x = 124,040.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.