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Finding the Third Proportional to 93,578.25 and 132,407.75

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Solution

The third proportional to 93,578.25 and 132,407.75 is: 187,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,578.25 : 132,407.75 = 132,407.75 : x
  2. Step 2: Convert to fraction form
    93,578.25/132,407.75 = 132,407.75/x
  3. Step 3: Cross multiply
    93,578.25x = 132,407.75 × 132,407.75
  4. Step 4: Simplify right side
    93,578.25x = 17,531,812,260.06
  5. Step 5: Solve for x
    x = 17,531,812,260.06/93,578.25
  6. Step 6: Final answer
    x = 187,349.22

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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.