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Finding the Third Proportional to 105,922 and 232,076

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Solution

The third proportional to 105,922 and 232,076 is: 508,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922 : 232,076 = 232,076 : x
  2. Step 2: Convert to fraction form
    105,922/232,076 = 232,076/x
  3. Step 3: Cross multiply
    105,922x = 232,076 × 232,076
  4. Step 4: Simplify right side
    105,922x = 53,859,269,776
  5. Step 5: Solve for x
    x = 53,859,269,776/105,922
  6. Step 6: Final answer
    x = 508,480.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.