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Finding the Third Proportional to 60,105 and 128,548.50

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Solution

The third proportional to 60,105 and 128,548.50 is: 274,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,105 : 128,548.50 = 128,548.50 : x
  2. Step 2: Convert to fraction form
    60,105/128,548.50 = 128,548.50/x
  3. Step 3: Cross multiply
    60,105x = 128,548.50 × 128,548.50
  4. Step 4: Simplify right side
    60,105x = 16,524,716,852.25
  5. Step 5: Solve for x
    x = 16,524,716,852.25/60,105
  6. Step 6: Final answer
    x = 274,930.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.