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Finding the Third Proportional to 54,063.50 and 86,091.50

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Solution

The third proportional to 54,063.50 and 86,091.50 is: 137,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,063.50 : 86,091.50 = 86,091.50 : x
  2. Step 2: Convert to fraction form
    54,063.50/86,091.50 = 86,091.50/x
  3. Step 3: Cross multiply
    54,063.50x = 86,091.50 × 86,091.50
  4. Step 4: Simplify right side
    54,063.50x = 7,411,746,372.25
  5. Step 5: Solve for x
    x = 7,411,746,372.25/54,063.50
  6. Step 6: Final answer
    x = 137,093.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.