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Finding the Third Proportional to 59,266.50 and 128,415

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Solution

The third proportional to 59,266.50 and 128,415 is: 278,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,266.50 : 128,415 = 128,415 : x
  2. Step 2: Convert to fraction form
    59,266.50/128,415 = 128,415/x
  3. Step 3: Cross multiply
    59,266.50x = 128,415 × 128,415
  4. Step 4: Simplify right side
    59,266.50x = 16,490,412,225
  5. Step 5: Solve for x
    x = 16,490,412,225/59,266.50
  6. Step 6: Final answer
    x = 278,241.71

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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.