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Finding the Third Proportional to 101,684 and 154,598

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Solution

The third proportional to 101,684 and 154,598 is: 235,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,684 : 154,598 = 154,598 : x
  2. Step 2: Convert to fraction form
    101,684/154,598 = 154,598/x
  3. Step 3: Cross multiply
    101,684x = 154,598 × 154,598
  4. Step 4: Simplify right side
    101,684x = 23,900,541,604
  5. Step 5: Solve for x
    x = 23,900,541,604/101,684
  6. Step 6: Final answer
    x = 235,047.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.