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Finding the Third Proportional to 93,650 and 143,607

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Solution

The third proportional to 93,650 and 143,607 is: 220,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,650 : 143,607 = 143,607 : x
  2. Step 2: Convert to fraction form
    93,650/143,607 = 143,607/x
  3. Step 3: Cross multiply
    93,650x = 143,607 × 143,607
  4. Step 4: Simplify right side
    93,650x = 20,622,970,449
  5. Step 5: Solve for x
    x = 20,622,970,449/93,650
  6. Step 6: Final answer
    x = 220,213.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.