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Finding the Third Proportional to 103,637 and 154,814

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Solution

The third proportional to 103,637 and 154,814 is: 231,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,637 : 154,814 = 154,814 : x
  2. Step 2: Convert to fraction form
    103,637/154,814 = 154,814/x
  3. Step 3: Cross multiply
    103,637x = 154,814 × 154,814
  4. Step 4: Simplify right side
    103,637x = 23,967,374,596
  5. Step 5: Solve for x
    x = 23,967,374,596/103,637
  6. Step 6: Final answer
    x = 231,262.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.