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Finding the Third Proportional to 67,988 and 147,274

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Solution

The third proportional to 67,988 and 147,274 is: 319,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,988 : 147,274 = 147,274 : x
  2. Step 2: Convert to fraction form
    67,988/147,274 = 147,274/x
  3. Step 3: Cross multiply
    67,988x = 147,274 × 147,274
  4. Step 4: Simplify right side
    67,988x = 21,689,631,076
  5. Step 5: Solve for x
    x = 21,689,631,076/67,988
  6. Step 6: Final answer
    x = 319,021.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.