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Finding the Third Proportional to 88,998.75 and 137,425.50

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Solution

The third proportional to 88,998.75 and 137,425.50 is: 212,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,998.75 : 137,425.50 = 137,425.50 : x
  2. Step 2: Convert to fraction form
    88,998.75/137,425.50 = 137,425.50/x
  3. Step 3: Cross multiply
    88,998.75x = 137,425.50 × 137,425.50
  4. Step 4: Simplify right side
    88,998.75x = 18,885,768,050.25
  5. Step 5: Solve for x
    x = 18,885,768,050.25/88,998.75
  6. Step 6: Final answer
    x = 212,202.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.