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Finding the Third Proportional to 125,158.50 and 271,633.50

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Solution

The third proportional to 125,158.50 and 271,633.50 is: 589,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,158.50 : 271,633.50 = 271,633.50 : x
  2. Step 2: Convert to fraction form
    125,158.50/271,633.50 = 271,633.50/x
  3. Step 3: Cross multiply
    125,158.50x = 271,633.50 × 271,633.50
  4. Step 4: Simplify right side
    125,158.50x = 73,784,758,322.25
  5. Step 5: Solve for x
    x = 73,784,758,322.25/125,158.50
  6. Step 6: Final answer
    x = 589,530.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.