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Finding the Third Proportional to 93,006 and 134,973

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Solution

The third proportional to 93,006 and 134,973 is: 195,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,006 : 134,973 = 134,973 : x
  2. Step 2: Convert to fraction form
    93,006/134,973 = 134,973/x
  3. Step 3: Cross multiply
    93,006x = 134,973 × 134,973
  4. Step 4: Simplify right side
    93,006x = 18,217,710,729
  5. Step 5: Solve for x
    x = 18,217,710,729/93,006
  6. Step 6: Final answer
    x = 195,876.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.