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Finding the Third Proportional to 60,697.50 and 128,928

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Solution

The third proportional to 60,697.50 and 128,928 is: 273,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,697.50 : 128,928 = 128,928 : x
  2. Step 2: Convert to fraction form
    60,697.50/128,928 = 128,928/x
  3. Step 3: Cross multiply
    60,697.50x = 128,928 × 128,928
  4. Step 4: Simplify right side
    60,697.50x = 16,622,429,184
  5. Step 5: Solve for x
    x = 16,622,429,184/60,697.50
  6. Step 6: Final answer
    x = 273,856.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.