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Finding the Third Proportional to 93,712 and 143,976

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Solution

The third proportional to 93,712 and 143,976 is: 221,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,712 : 143,976 = 143,976 : x
  2. Step 2: Convert to fraction form
    93,712/143,976 = 143,976/x
  3. Step 3: Cross multiply
    93,712x = 143,976 × 143,976
  4. Step 4: Simplify right side
    93,712x = 20,729,088,576
  5. Step 5: Solve for x
    x = 20,729,088,576/93,712
  6. Step 6: Final answer
    x = 221,199.94

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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.