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Finding the Third Proportional to 96,258 and 149,623

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Solution

The third proportional to 96,258 and 149,623 is: 232,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,258 : 149,623 = 149,623 : x
  2. Step 2: Convert to fraction form
    96,258/149,623 = 149,623/x
  3. Step 3: Cross multiply
    96,258x = 149,623 × 149,623
  4. Step 4: Simplify right side
    96,258x = 22,387,042,129
  5. Step 5: Solve for x
    x = 22,387,042,129/96,258
  6. Step 6: Final answer
    x = 232,573.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.