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Finding the Third Proportional to 71,284 and 153,566

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Solution

The third proportional to 71,284 and 153,566 is: 330,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284 : 153,566 = 153,566 : x
  2. Step 2: Convert to fraction form
    71,284/153,566 = 153,566/x
  3. Step 3: Cross multiply
    71,284x = 153,566 × 153,566
  4. Step 4: Simplify right side
    71,284x = 23,582,516,356
  5. Step 5: Solve for x
    x = 23,582,516,356/71,284
  6. Step 6: Final answer
    x = 330,824.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.