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Finding the Third Proportional to 101,214 and 148,536

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Solution

The third proportional to 101,214 and 148,536 is: 217,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,214 : 148,536 = 148,536 : x
  2. Step 2: Convert to fraction form
    101,214/148,536 = 148,536/x
  3. Step 3: Cross multiply
    101,214x = 148,536 × 148,536
  4. Step 4: Simplify right side
    101,214x = 22,062,943,296
  5. Step 5: Solve for x
    x = 22,062,943,296/101,214
  6. Step 6: Final answer
    x = 217,983.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.