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Finding the Third Proportional to 84,958.88 and 131,098.50

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Solution

The third proportional to 84,958.88 and 131,098.50 is: 202,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,958.88 : 131,098.50 = 131,098.50 : x
  2. Step 2: Convert to fraction form
    84,958.88/131,098.50 = 131,098.50/x
  3. Step 3: Cross multiply
    84,958.88x = 131,098.50 × 131,098.50
  4. Step 4: Simplify right side
    84,958.88x = 17,186,816,702.25
  5. Step 5: Solve for x
    x = 17,186,816,702.25/84,958.88
  6. Step 6: Final answer
    x = 202,295.72

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