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Finding the Third Proportional to 101,376 and 159,026

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Solution

The third proportional to 101,376 and 159,026 is: 249,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,376 : 159,026 = 159,026 : x
  2. Step 2: Convert to fraction form
    101,376/159,026 = 159,026/x
  3. Step 3: Cross multiply
    101,376x = 159,026 × 159,026
  4. Step 4: Simplify right side
    101,376x = 25,289,268,676
  5. Step 5: Solve for x
    x = 25,289,268,676/101,376
  6. Step 6: Final answer
    x = 249,460.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.