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Finding the Third Proportional to 47,466 and 103,437

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Solution

The third proportional to 47,466 and 103,437 is: 225,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,466 : 103,437 = 103,437 : x
  2. Step 2: Convert to fraction form
    47,466/103,437 = 103,437/x
  3. Step 3: Cross multiply
    47,466x = 103,437 × 103,437
  4. Step 4: Simplify right side
    47,466x = 10,699,212,969
  5. Step 5: Solve for x
    x = 10,699,212,969/47,466
  6. Step 6: Final answer
    x = 225,407.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.