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Finding the Third Proportional to 47,180 and 103,111

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Solution

The third proportional to 47,180 and 103,111 is: 225,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,180 : 103,111 = 103,111 : x
  2. Step 2: Convert to fraction form
    47,180/103,111 = 103,111/x
  3. Step 3: Cross multiply
    47,180x = 103,111 × 103,111
  4. Step 4: Simplify right side
    47,180x = 10,631,878,321
  5. Step 5: Solve for x
    x = 10,631,878,321/47,180
  6. Step 6: Final answer
    x = 225,347.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.