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Finding the Third Proportional to 59,905 and 115,151

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Solution

The third proportional to 59,905 and 115,151 is: 221,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,905 : 115,151 = 115,151 : x
  2. Step 2: Convert to fraction form
    59,905/115,151 = 115,151/x
  3. Step 3: Cross multiply
    59,905x = 115,151 × 115,151
  4. Step 4: Simplify right side
    59,905x = 13,259,752,801
  5. Step 5: Solve for x
    x = 13,259,752,801/59,905
  6. Step 6: Final answer
    x = 221,346.35

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.