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Finding the Third Proportional to 103,624 and 154,798

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Solution

The third proportional to 103,624 and 154,798 is: 231,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 154,798 = 154,798 : x
  2. Step 2: Convert to fraction form
    103,624/154,798 = 154,798/x
  3. Step 3: Cross multiply
    103,624x = 154,798 × 154,798
  4. Step 4: Simplify right side
    103,624x = 23,962,420,804
  5. Step 5: Solve for x
    x = 23,962,420,804/103,624
  6. Step 6: Final answer
    x = 231,243.93

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Why These Related Problems?

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