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Finding the Third Proportional to 81,582 and 114,887

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Solution

The third proportional to 81,582 and 114,887 is: 161,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,582 : 114,887 = 114,887 : x
  2. Step 2: Convert to fraction form
    81,582/114,887 = 114,887/x
  3. Step 3: Cross multiply
    81,582x = 114,887 × 114,887
  4. Step 4: Simplify right side
    81,582x = 13,199,022,769
  5. Step 5: Solve for x
    x = 13,199,022,769/81,582
  6. Step 6: Final answer
    x = 161,788.42

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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.