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Finding the Third Proportional to 61,271.44 and 94,638.38

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Solution

The third proportional to 61,271.44 and 94,638.38 is: 146,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,271.44 : 94,638.38 = 94,638.38 : x
  2. Step 2: Convert to fraction form
    61,271.44/94,638.38 = 94,638.38/x
  3. Step 3: Cross multiply
    61,271.44x = 94,638.38 × 94,638.38
  4. Step 4: Simplify right side
    61,271.44x = 8,956,422,022.64
  5. Step 5: Solve for x
    x = 8,956,422,022.64/61,271.44
  6. Step 6: Final answer
    x = 146,176.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.