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Finding the Third Proportional to 67,752 and 148,420

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Solution

The third proportional to 67,752 and 148,420 is: 325,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,752 : 148,420 = 148,420 : x
  2. Step 2: Convert to fraction form
    67,752/148,420 = 148,420/x
  3. Step 3: Cross multiply
    67,752x = 148,420 × 148,420
  4. Step 4: Simplify right side
    67,752x = 22,028,496,400
  5. Step 5: Solve for x
    x = 22,028,496,400/67,752
  6. Step 6: Final answer
    x = 325,134.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.