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Finding the Third Proportional to 103,637.25 and 152,052.75

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Solution

The third proportional to 103,637.25 and 152,052.75 is: 223,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,637.25 : 152,052.75 = 152,052.75 : x
  2. Step 2: Convert to fraction form
    103,637.25/152,052.75 = 152,052.75/x
  3. Step 3: Cross multiply
    103,637.25x = 152,052.75 × 152,052.75
  4. Step 4: Simplify right side
    103,637.25x = 23,120,038,782.56
  5. Step 5: Solve for x
    x = 23,120,038,782.56/103,637.25
  6. Step 6: Final answer
    x = 223,086.19

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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.