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Finding the Third Proportional to 105,767 and 159,547

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Solution

The third proportional to 105,767 and 159,547 is: 240,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,767 : 159,547 = 159,547 : x
  2. Step 2: Convert to fraction form
    105,767/159,547 = 159,547/x
  3. Step 3: Cross multiply
    105,767x = 159,547 × 159,547
  4. Step 4: Simplify right side
    105,767x = 25,455,245,209
  5. Step 5: Solve for x
    x = 25,455,245,209/105,767
  6. Step 6: Final answer
    x = 240,672.85

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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.