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Finding the Third Proportional to 71,284 and 154,710

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Solution

The third proportional to 71,284 and 154,710 is: 335,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284 : 154,710 = 154,710 : x
  2. Step 2: Convert to fraction form
    71,284/154,710 = 154,710/x
  3. Step 3: Cross multiply
    71,284x = 154,710 × 154,710
  4. Step 4: Simplify right side
    71,284x = 23,935,184,100
  5. Step 5: Solve for x
    x = 23,935,184,100/71,284
  6. Step 6: Final answer
    x = 335,772.18

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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.