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Finding the Third Proportional to 93,569 and 131,781

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Solution

The third proportional to 93,569 and 131,781 is: 185,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,569 : 131,781 = 131,781 : x
  2. Step 2: Convert to fraction form
    93,569/131,781 = 131,781/x
  3. Step 3: Cross multiply
    93,569x = 131,781 × 131,781
  4. Step 4: Simplify right side
    93,569x = 17,366,231,961
  5. Step 5: Solve for x
    x = 17,366,231,961/93,569
  6. Step 6: Final answer
    x = 185,598.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.