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Finding the Third Proportional to 57,106.90 and 83,712.55

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Solution

The third proportional to 57,106.90 and 83,712.55 is: 122,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106.90 : 83,712.55 = 83,712.55 : x
  2. Step 2: Convert to fraction form
    57,106.90/83,712.55 = 83,712.55/x
  3. Step 3: Cross multiply
    57,106.90x = 83,712.55 × 83,712.55
  4. Step 4: Simplify right side
    57,106.90x = 7,007,791,158.30
  5. Step 5: Solve for x
    x = 7,007,791,158.30/57,106.90
  6. Step 6: Final answer
    x = 122,713.57

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