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Finding the Third Proportional to 61,155 and 133,063

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Solution

The third proportional to 61,155 and 133,063 is: 289,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,155 : 133,063 = 133,063 : x
  2. Step 2: Convert to fraction form
    61,155/133,063 = 133,063/x
  3. Step 3: Cross multiply
    61,155x = 133,063 × 133,063
  4. Step 4: Simplify right side
    61,155x = 17,705,761,969
  5. Step 5: Solve for x
    x = 17,705,761,969/61,155
  6. Step 6: Final answer
    x = 289,522.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.