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Finding the Third Proportional to 101,764 and 148,026

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Solution

The third proportional to 101,764 and 148,026 is: 215,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764 : 148,026 = 148,026 : x
  2. Step 2: Convert to fraction form
    101,764/148,026 = 148,026/x
  3. Step 3: Cross multiply
    101,764x = 148,026 × 148,026
  4. Step 4: Simplify right side
    101,764x = 21,911,696,676
  5. Step 5: Solve for x
    x = 21,911,696,676/101,764
  6. Step 6: Final answer
    x = 215,318.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.