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Finding the Third Proportional to 61,284.38 and 94,694.63

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Solution

The third proportional to 61,284.38 and 94,694.63 is: 146,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,284.38 : 94,694.63 = 94,694.63 : x
  2. Step 2: Convert to fraction form
    61,284.38/94,694.63 = 94,694.63/x
  3. Step 3: Cross multiply
    61,284.38x = 94,694.63 × 94,694.63
  4. Step 4: Simplify right side
    61,284.38x = 8,967,072,003.89
  5. Step 5: Solve for x
    x = 8,967,072,003.89/61,284.38
  6. Step 6: Final answer
    x = 146,319.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.