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Finding the Third Proportional to 47,220 and 101,726

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Solution

The third proportional to 47,220 and 101,726 is: 219,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,220 : 101,726 = 101,726 : x
  2. Step 2: Convert to fraction form
    47,220/101,726 = 101,726/x
  3. Step 3: Cross multiply
    47,220x = 101,726 × 101,726
  4. Step 4: Simplify right side
    47,220x = 10,348,179,076
  5. Step 5: Solve for x
    x = 10,348,179,076/47,220
  6. Step 6: Final answer
    x = 219,148.22

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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.