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Finding the Third Proportional to 93,886 and 147,542

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Solution

The third proportional to 93,886 and 147,542 is: 231,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,886 : 147,542 = 147,542 : x
  2. Step 2: Convert to fraction form
    93,886/147,542 = 147,542/x
  3. Step 3: Cross multiply
    93,886x = 147,542 × 147,542
  4. Step 4: Simplify right side
    93,886x = 21,768,641,764
  5. Step 5: Solve for x
    x = 21,768,641,764/93,886
  6. Step 6: Final answer
    x = 231,862.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.