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Finding the Third Proportional to 93,508 and 131,526

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Solution

The third proportional to 93,508 and 131,526 is: 185,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,508 : 131,526 = 131,526 : x
  2. Step 2: Convert to fraction form
    93,508/131,526 = 131,526/x
  3. Step 3: Cross multiply
    93,508x = 131,526 × 131,526
  4. Step 4: Simplify right side
    93,508x = 17,299,088,676
  5. Step 5: Solve for x
    x = 17,299,088,676/93,508
  6. Step 6: Final answer
    x = 185,001.16

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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.