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Finding the Third Proportional to 103,626 and 152,043

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Solution

The third proportional to 103,626 and 152,043 is: 223,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,626 : 152,043 = 152,043 : x
  2. Step 2: Convert to fraction form
    103,626/152,043 = 152,043/x
  3. Step 3: Cross multiply
    103,626x = 152,043 × 152,043
  4. Step 4: Simplify right side
    103,626x = 23,117,073,849
  5. Step 5: Solve for x
    x = 23,117,073,849/103,626
  6. Step 6: Final answer
    x = 223,081.79

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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.