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Finding the Third Proportional to 125,147.50 and 254,642

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Solution

The third proportional to 125,147.50 and 254,642 is: 518,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,147.50 : 254,642 = 254,642 : x
  2. Step 2: Convert to fraction form
    125,147.50/254,642 = 254,642/x
  3. Step 3: Cross multiply
    125,147.50x = 254,642 × 254,642
  4. Step 4: Simplify right side
    125,147.50x = 64,842,548,164
  5. Step 5: Solve for x
    x = 64,842,548,164/125,147.50
  6. Step 6: Final answer
    x = 518,128.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.