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Finding the Third Proportional to 93,974 and 137,433

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Solution

The third proportional to 93,974 and 137,433 is: 200,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,974 : 137,433 = 137,433 : x
  2. Step 2: Convert to fraction form
    93,974/137,433 = 137,433/x
  3. Step 3: Cross multiply
    93,974x = 137,433 × 137,433
  4. Step 4: Simplify right side
    93,974x = 18,887,829,489
  5. Step 5: Solve for x
    x = 18,887,829,489/93,974
  6. Step 6: Final answer
    x = 200,989.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.