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Finding the Third Proportional to 54,087 and 118,353.50

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Solution

The third proportional to 54,087 and 118,353.50 is: 258,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,087 : 118,353.50 = 118,353.50 : x
  2. Step 2: Convert to fraction form
    54,087/118,353.50 = 118,353.50/x
  3. Step 3: Cross multiply
    54,087x = 118,353.50 × 118,353.50
  4. Step 4: Simplify right side
    54,087x = 14,007,550,962.25
  5. Step 5: Solve for x
    x = 14,007,550,962.25/54,087
  6. Step 6: Final answer
    x = 258,981.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.