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Finding the Third Proportional to 93,122 and 132,999

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Solution

The third proportional to 93,122 and 132,999 is: 189,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,122 : 132,999 = 132,999 : x
  2. Step 2: Convert to fraction form
    93,122/132,999 = 132,999/x
  3. Step 3: Cross multiply
    93,122x = 132,999 × 132,999
  4. Step 4: Simplify right side
    93,122x = 17,688,734,001
  5. Step 5: Solve for x
    x = 17,688,734,001/93,122
  6. Step 6: Final answer
    x = 189,952.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.