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Finding the Third Proportional to 93,154 and 131,685

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Solution

The third proportional to 93,154 and 131,685 is: 186,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,154 : 131,685 = 131,685 : x
  2. Step 2: Convert to fraction form
    93,154/131,685 = 131,685/x
  3. Step 3: Cross multiply
    93,154x = 131,685 × 131,685
  4. Step 4: Simplify right side
    93,154x = 17,340,939,225
  5. Step 5: Solve for x
    x = 17,340,939,225/93,154
  6. Step 6: Final answer
    x = 186,153.46

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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.