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Finding the Third Proportional to 47,440 and 100,348

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Solution

The third proportional to 47,440 and 100,348 is: 212,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,440 : 100,348 = 100,348 : x
  2. Step 2: Convert to fraction form
    47,440/100,348 = 100,348/x
  3. Step 3: Cross multiply
    47,440x = 100,348 × 100,348
  4. Step 4: Simplify right side
    47,440x = 10,069,721,104
  5. Step 5: Solve for x
    x = 10,069,721,104/47,440
  6. Step 6: Final answer
    x = 212,262.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.