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Finding the Third Proportional to 55,414.13 and 83,774.25

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Solution

The third proportional to 55,414.13 and 83,774.25 is: 126,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,414.13 : 83,774.25 = 83,774.25 : x
  2. Step 2: Convert to fraction form
    55,414.13/83,774.25 = 83,774.25/x
  3. Step 3: Cross multiply
    55,414.13x = 83,774.25 × 83,774.25
  4. Step 4: Simplify right side
    55,414.13x = 7,018,124,963.06
  5. Step 5: Solve for x
    x = 7,018,124,963.06/55,414.13
  6. Step 6: Final answer
    x = 126,648.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.