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Finding the Third Proportional to 93,981 and 143,948

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Solution

The third proportional to 93,981 and 143,948 is: 220,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,981 : 143,948 = 143,948 : x
  2. Step 2: Convert to fraction form
    93,981/143,948 = 143,948/x
  3. Step 3: Cross multiply
    93,981x = 143,948 × 143,948
  4. Step 4: Simplify right side
    93,981x = 20,721,026,704
  5. Step 5: Solve for x
    x = 20,721,026,704/93,981
  6. Step 6: Final answer
    x = 220,481.02

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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.