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Finding the Third Proportional to 93,434 and 143,609

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Solution

The third proportional to 93,434 and 143,609 is: 220,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,434 : 143,609 = 143,609 : x
  2. Step 2: Convert to fraction form
    93,434/143,609 = 143,609/x
  3. Step 3: Cross multiply
    93,434x = 143,609 × 143,609
  4. Step 4: Simplify right side
    93,434x = 20,623,544,881
  5. Step 5: Solve for x
    x = 20,623,544,881/93,434
  6. Step 6: Final answer
    x = 220,728.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.