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Finding the Third Proportional to 61,791.19 and 132,897.38

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Solution

The third proportional to 61,791.19 and 132,897.38 is: 285,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,791.19 : 132,897.38 = 132,897.38 : x
  2. Step 2: Convert to fraction form
    61,791.19/132,897.38 = 132,897.38/x
  3. Step 3: Cross multiply
    61,791.19x = 132,897.38 × 132,897.38
  4. Step 4: Simplify right side
    61,791.19x = 17,661,712,281.89
  5. Step 5: Solve for x
    x = 17,661,712,281.89/61,791.19
  6. Step 6: Final answer
    x = 285,828.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.