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Finding the Third Proportional to 109,605 and 148,531

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Solution

The third proportional to 109,605 and 148,531 is: 201,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,605 : 148,531 = 148,531 : x
  2. Step 2: Convert to fraction form
    109,605/148,531 = 148,531/x
  3. Step 3: Cross multiply
    109,605x = 148,531 × 148,531
  4. Step 4: Simplify right side
    109,605x = 22,061,457,961
  5. Step 5: Solve for x
    x = 22,061,457,961/109,605
  6. Step 6: Final answer
    x = 201,281.49

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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.