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Finding the Third Proportional to 81,111 and 119,560.50

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Solution

The third proportional to 81,111 and 119,560.50 is: 176,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,111 : 119,560.50 = 119,560.50 : x
  2. Step 2: Convert to fraction form
    81,111/119,560.50 = 119,560.50/x
  3. Step 3: Cross multiply
    81,111x = 119,560.50 × 119,560.50
  4. Step 4: Simplify right side
    81,111x = 14,294,713,160.25
  5. Step 5: Solve for x
    x = 14,294,713,160.25/81,111
  6. Step 6: Final answer
    x = 176,236.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.