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Finding the Third Proportional to 88,714.50 and 133,993.50

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Solution

The third proportional to 88,714.50 and 133,993.50 is: 202,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,714.50 : 133,993.50 = 133,993.50 : x
  2. Step 2: Convert to fraction form
    88,714.50/133,993.50 = 133,993.50/x
  3. Step 3: Cross multiply
    88,714.50x = 133,993.50 × 133,993.50
  4. Step 4: Simplify right side
    88,714.50x = 17,954,258,042.25
  5. Step 5: Solve for x
    x = 17,954,258,042.25/88,714.50
  6. Step 6: Final answer
    x = 202,382.45

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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.