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Finding the Third Proportional to 107,264 and 157,796

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Solution

The third proportional to 107,264 and 157,796 is: 232,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,264 : 157,796 = 157,796 : x
  2. Step 2: Convert to fraction form
    107,264/157,796 = 157,796/x
  3. Step 3: Cross multiply
    107,264x = 157,796 × 157,796
  4. Step 4: Simplify right side
    107,264x = 24,899,577,616
  5. Step 5: Solve for x
    x = 24,899,577,616/107,264
  6. Step 6: Final answer
    x = 232,133.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.