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Finding the Third Proportional to 62,588.50 and 94,415

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Solution

The third proportional to 62,588.50 and 94,415 is: 142,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,588.50 : 94,415 = 94,415 : x
  2. Step 2: Convert to fraction form
    62,588.50/94,415 = 94,415/x
  3. Step 3: Cross multiply
    62,588.50x = 94,415 × 94,415
  4. Step 4: Simplify right side
    62,588.50x = 8,914,192,225
  5. Step 5: Solve for x
    x = 8,914,192,225/62,588.50
  6. Step 6: Final answer
    x = 142,425.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.