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Finding the Third Proportional to 67,935 and 148,979

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Solution

The third proportional to 67,935 and 148,979 is: 326,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,935 : 148,979 = 148,979 : x
  2. Step 2: Convert to fraction form
    67,935/148,979 = 148,979/x
  3. Step 3: Cross multiply
    67,935x = 148,979 × 148,979
  4. Step 4: Simplify right side
    67,935x = 22,194,742,441
  5. Step 5: Solve for x
    x = 22,194,742,441/67,935
  6. Step 6: Final answer
    x = 326,705.56

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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.