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Finding the Third Proportional to 68,748 and 148,722

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Solution

The third proportional to 68,748 and 148,722 is: 321,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,748 : 148,722 = 148,722 : x
  2. Step 2: Convert to fraction form
    68,748/148,722 = 148,722/x
  3. Step 3: Cross multiply
    68,748x = 148,722 × 148,722
  4. Step 4: Simplify right side
    68,748x = 22,118,233,284
  5. Step 5: Solve for x
    x = 22,118,233,284/68,748
  6. Step 6: Final answer
    x = 321,729.12

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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.