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Finding the Third Proportional to 61,169 and 134,755.50

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Solution

The third proportional to 61,169 and 134,755.50 is: 296,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,169 : 134,755.50 = 134,755.50 : x
  2. Step 2: Convert to fraction form
    61,169/134,755.50 = 134,755.50/x
  3. Step 3: Cross multiply
    61,169x = 134,755.50 × 134,755.50
  4. Step 4: Simplify right side
    61,169x = 18,159,044,780.25
  5. Step 5: Solve for x
    x = 18,159,044,780.25/61,169
  6. Step 6: Final answer
    x = 296,866.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.