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Finding the Third Proportional to 105,788 and 162,039

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Solution

The third proportional to 105,788 and 162,039 is: 248,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,788 : 162,039 = 162,039 : x
  2. Step 2: Convert to fraction form
    105,788/162,039 = 162,039/x
  3. Step 3: Cross multiply
    105,788x = 162,039 × 162,039
  4. Step 4: Simplify right side
    105,788x = 26,256,637,521
  5. Step 5: Solve for x
    x = 26,256,637,521/105,788
  6. Step 6: Final answer
    x = 248,200.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.