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Finding the Third Proportional to 71,528.06 and 105,100.03

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Solution

The third proportional to 71,528.06 and 105,100.03 is: 154,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,528.06 : 105,100.03 = 105,100.03 : x
  2. Step 2: Convert to fraction form
    71,528.06/105,100.03 = 105,100.03/x
  3. Step 3: Cross multiply
    71,528.06x = 105,100.03 × 105,100.03
  4. Step 4: Simplify right side
    71,528.06x = 11,046,016,568.75
  5. Step 5: Solve for x
    x = 11,046,016,568.75/71,528.06
  6. Step 6: Final answer
    x = 154,429.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.