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Finding the Third Proportional to 48,614.06 and 105,527.25

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Solution

The third proportional to 48,614.06 and 105,527.25 is: 229,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614.06 : 105,527.25 = 105,527.25 : x
  2. Step 2: Convert to fraction form
    48,614.06/105,527.25 = 105,527.25/x
  3. Step 3: Cross multiply
    48,614.06x = 105,527.25 × 105,527.25
  4. Step 4: Simplify right side
    48,614.06x = 11,136,000,492.56
  5. Step 5: Solve for x
    x = 11,136,000,492.56/48,614.06
  6. Step 6: Final answer
    x = 229,069.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.