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Finding the Third Proportional to 109,608 and 148,535.25

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Solution

The third proportional to 109,608 and 148,535.25 is: 201,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,608 : 148,535.25 = 148,535.25 : x
  2. Step 2: Convert to fraction form
    109,608/148,535.25 = 148,535.25/x
  3. Step 3: Cross multiply
    109,608x = 148,535.25 × 148,535.25
  4. Step 4: Simplify right side
    109,608x = 22,062,720,492.56
  5. Step 5: Solve for x
    x = 22,062,720,492.56/109,608
  6. Step 6: Final answer
    x = 201,287.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.