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Finding the Third Proportional to 93,886 and 141,627

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Solution

The third proportional to 93,886 and 141,627 is: 213,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,886 : 141,627 = 141,627 : x
  2. Step 2: Convert to fraction form
    93,886/141,627 = 141,627/x
  3. Step 3: Cross multiply
    93,886x = 141,627 × 141,627
  4. Step 4: Simplify right side
    93,886x = 20,058,207,129
  5. Step 5: Solve for x
    x = 20,058,207,129/93,886
  6. Step 6: Final answer
    x = 213,644.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.