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Finding the Third Proportional to 47,510 and 101,660

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Solution

The third proportional to 47,510 and 101,660 is: 217,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,510 : 101,660 = 101,660 : x
  2. Step 2: Convert to fraction form
    47,510/101,660 = 101,660/x
  3. Step 3: Cross multiply
    47,510x = 101,660 × 101,660
  4. Step 4: Simplify right side
    47,510x = 10,334,755,600
  5. Step 5: Solve for x
    x = 10,334,755,600/47,510
  6. Step 6: Final answer
    x = 217,528.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.