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Finding the Third Proportional to 88,419 and 136,912.50

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Solution

The third proportional to 88,419 and 136,912.50 is: 212,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,419 : 136,912.50 = 136,912.50 : x
  2. Step 2: Convert to fraction form
    88,419/136,912.50 = 136,912.50/x
  3. Step 3: Cross multiply
    88,419x = 136,912.50 × 136,912.50
  4. Step 4: Simplify right side
    88,419x = 18,745,032,656.25
  5. Step 5: Solve for x
    x = 18,745,032,656.25/88,419
  6. Step 6: Final answer
    x = 212,002.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.