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Finding the Third Proportional to 61,129 and 126,186.50

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Solution

The third proportional to 61,129 and 126,186.50 is: 260,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,129 : 126,186.50 = 126,186.50 : x
  2. Step 2: Convert to fraction form
    61,129/126,186.50 = 126,186.50/x
  3. Step 3: Cross multiply
    61,129x = 126,186.50 × 126,186.50
  4. Step 4: Simplify right side
    61,129x = 15,923,032,782.25
  5. Step 5: Solve for x
    x = 15,923,032,782.25/61,129
  6. Step 6: Final answer
    x = 260,482.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.