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Finding the Third Proportional to 61,101.75 and 133,064.25

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Solution

The third proportional to 61,101.75 and 133,064.25 is: 289,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,101.75 : 133,064.25 = 133,064.25 : x
  2. Step 2: Convert to fraction form
    61,101.75/133,064.25 = 133,064.25/x
  3. Step 3: Cross multiply
    61,101.75x = 133,064.25 × 133,064.25
  4. Step 4: Simplify right side
    61,101.75x = 17,706,094,628.06
  5. Step 5: Solve for x
    x = 17,706,094,628.06/61,101.75
  6. Step 6: Final answer
    x = 289,780.48

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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.