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Finding the Third Proportional to 105,332 and 159,339

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Solution

The third proportional to 105,332 and 159,339 is: 241,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,332 : 159,339 = 159,339 : x
  2. Step 2: Convert to fraction form
    105,332/159,339 = 159,339/x
  3. Step 3: Cross multiply
    105,332x = 159,339 × 159,339
  4. Step 4: Simplify right side
    105,332x = 25,388,916,921
  5. Step 5: Solve for x
    x = 25,388,916,921/105,332
  6. Step 6: Final answer
    x = 241,037.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.