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Finding the Third Proportional to 59,640 and 106,320

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Solution

The third proportional to 59,640 and 106,320 is: 189,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,640 : 106,320 = 106,320 : x
  2. Step 2: Convert to fraction form
    59,640/106,320 = 106,320/x
  3. Step 3: Cross multiply
    59,640x = 106,320 × 106,320
  4. Step 4: Simplify right side
    59,640x = 11,303,942,400
  5. Step 5: Solve for x
    x = 11,303,942,400/59,640
  6. Step 6: Final answer
    x = 189,536.26

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.