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Finding the Third Proportional to 50,587.50 and 109,280.13

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Solution

The third proportional to 50,587.50 and 109,280.13 is: 236,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,587.50 : 109,280.13 = 109,280.13 : x
  2. Step 2: Convert to fraction form
    50,587.50/109,280.13 = 109,280.13/x
  3. Step 3: Cross multiply
    50,587.50x = 109,280.13 × 109,280.13
  4. Step 4: Simplify right side
    50,587.50x = 11,942,145,720.02
  5. Step 5: Solve for x
    x = 11,942,145,720.02/50,587.50
  6. Step 6: Final answer
    x = 236,069.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.