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Finding the Third Proportional to 96,840 and 146,709

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Solution

The third proportional to 96,840 and 146,709 is: 222,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,840 : 146,709 = 146,709 : x
  2. Step 2: Convert to fraction form
    96,840/146,709 = 146,709/x
  3. Step 3: Cross multiply
    96,840x = 146,709 × 146,709
  4. Step 4: Simplify right side
    96,840x = 21,523,530,681
  5. Step 5: Solve for x
    x = 21,523,530,681/96,840
  6. Step 6: Final answer
    x = 222,258.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.