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Finding the Third Proportional to 59,713 and 128,750

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Solution

The third proportional to 59,713 and 128,750 is: 277,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,713 : 128,750 = 128,750 : x
  2. Step 2: Convert to fraction form
    59,713/128,750 = 128,750/x
  3. Step 3: Cross multiply
    59,713x = 128,750 × 128,750
  4. Step 4: Simplify right side
    59,713x = 16,576,562,500
  5. Step 5: Solve for x
    x = 16,576,562,500/59,713
  6. Step 6: Final answer
    x = 277,603.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.