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Finding the Third Proportional to 47,378 and 101,320

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Solution

The third proportional to 47,378 and 101,320 is: 216,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,378 : 101,320 = 101,320 : x
  2. Step 2: Convert to fraction form
    47,378/101,320 = 101,320/x
  3. Step 3: Cross multiply
    47,378x = 101,320 × 101,320
  4. Step 4: Simplify right side
    47,378x = 10,265,742,400
  5. Step 5: Solve for x
    x = 10,265,742,400/47,378
  6. Step 6: Final answer
    x = 216,677.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.