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Finding the Third Proportional to 109,620 and 148,554

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Solution

The third proportional to 109,620 and 148,554 is: 201,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,620 : 148,554 = 148,554 : x
  2. Step 2: Convert to fraction form
    109,620/148,554 = 148,554/x
  3. Step 3: Cross multiply
    109,620x = 148,554 × 148,554
  4. Step 4: Simplify right side
    109,620x = 22,068,290,916
  5. Step 5: Solve for x
    x = 22,068,290,916/109,620
  6. Step 6: Final answer
    x = 201,316.28

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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.