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Finding the Third Proportional to 47,497 and 101,348

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Solution

The third proportional to 47,497 and 101,348 is: 216,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497 : 101,348 = 101,348 : x
  2. Step 2: Convert to fraction form
    47,497/101,348 = 101,348/x
  3. Step 3: Cross multiply
    47,497x = 101,348 × 101,348
  4. Step 4: Simplify right side
    47,497x = 10,271,417,104
  5. Step 5: Solve for x
    x = 10,271,417,104/47,497
  6. Step 6: Final answer
    x = 216,254.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.