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Finding the Third Proportional to 63,071.13 and 105,114.44

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Solution

The third proportional to 63,071.13 and 105,114.44 is: 175,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,071.13 : 105,114.44 = 105,114.44 : x
  2. Step 2: Convert to fraction form
    63,071.13/105,114.44 = 105,114.44/x
  3. Step 3: Cross multiply
    63,071.13x = 105,114.44 × 105,114.44
  4. Step 4: Simplify right side
    63,071.13x = 11,049,044,970.94
  5. Step 5: Solve for x
    x = 11,049,044,970.94/63,071.13
  6. Step 6: Final answer
    x = 175,183.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.