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Finding the Third Proportional to 54,886.50 and 114,079.50

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Solution

The third proportional to 54,886.50 and 114,079.50 is: 237,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,886.50 : 114,079.50 = 114,079.50 : x
  2. Step 2: Convert to fraction form
    54,886.50/114,079.50 = 114,079.50/x
  3. Step 3: Cross multiply
    54,886.50x = 114,079.50 × 114,079.50
  4. Step 4: Simplify right side
    54,886.50x = 13,014,132,320.25
  5. Step 5: Solve for x
    x = 13,014,132,320.25/54,886.50
  6. Step 6: Final answer
    x = 237,109.90

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.