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Finding the Third Proportional to 57,792.47 and 90,682.19

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Solution

The third proportional to 57,792.47 and 90,682.19 is: 142,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,792.47 : 90,682.19 = 90,682.19 : x
  2. Step 2: Convert to fraction form
    57,792.47/90,682.19 = 90,682.19/x
  3. Step 3: Cross multiply
    57,792.47x = 90,682.19 × 90,682.19
  4. Step 4: Simplify right side
    57,792.47x = 8,223,259,484.01
  5. Step 5: Solve for x
    x = 8,223,259,484.01/57,792.47
  6. Step 6: Final answer
    x = 142,289.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.