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Finding the Third Proportional to 106,382 and 157,519

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Solution

The third proportional to 106,382 and 157,519 is: 233,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,382 : 157,519 = 157,519 : x
  2. Step 2: Convert to fraction form
    106,382/157,519 = 157,519/x
  3. Step 3: Cross multiply
    106,382x = 157,519 × 157,519
  4. Step 4: Simplify right side
    106,382x = 24,812,235,361
  5. Step 5: Solve for x
    x = 24,812,235,361/106,382
  6. Step 6: Final answer
    x = 233,237.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.