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Finding the Third Proportional to 103,068 and 154,842

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Solution

The third proportional to 103,068 and 154,842 is: 232,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,068 : 154,842 = 154,842 : x
  2. Step 2: Convert to fraction form
    103,068/154,842 = 154,842/x
  3. Step 3: Cross multiply
    103,068x = 154,842 × 154,842
  4. Step 4: Simplify right side
    103,068x = 23,976,044,964
  5. Step 5: Solve for x
    x = 23,976,044,964/103,068
  6. Step 6: Final answer
    x = 232,623.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.