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Finding the Third Proportional to 58,197.75 and 124,027.50

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Solution

The third proportional to 58,197.75 and 124,027.50 is: 264,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,197.75 : 124,027.50 = 124,027.50 : x
  2. Step 2: Convert to fraction form
    58,197.75/124,027.50 = 124,027.50/x
  3. Step 3: Cross multiply
    58,197.75x = 124,027.50 × 124,027.50
  4. Step 4: Simplify right side
    58,197.75x = 15,382,820,756.25
  5. Step 5: Solve for x
    x = 15,382,820,756.25/58,197.75
  6. Step 6: Final answer
    x = 264,319.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.