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Finding the Third Proportional to 68,730 and 148,692

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Solution

The third proportional to 68,730 and 148,692 is: 321,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,730 : 148,692 = 148,692 : x
  2. Step 2: Convert to fraction form
    68,730/148,692 = 148,692/x
  3. Step 3: Cross multiply
    68,730x = 148,692 × 148,692
  4. Step 4: Simplify right side
    68,730x = 22,109,310,864
  5. Step 5: Solve for x
    x = 22,109,310,864/68,730
  6. Step 6: Final answer
    x = 321,683.56

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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.