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Finding the Third Proportional to 81,495.84 and 124,666.31

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Solution

The third proportional to 81,495.84 and 124,666.31 is: 190,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,495.84 : 124,666.31 = 124,666.31 : x
  2. Step 2: Convert to fraction form
    81,495.84/124,666.31 = 124,666.31/x
  3. Step 3: Cross multiply
    81,495.84x = 124,666.31 × 124,666.31
  4. Step 4: Simplify right side
    81,495.84x = 15,541,689,472.35
  5. Step 5: Solve for x
    x = 15,541,689,472.35/81,495.84
  6. Step 6: Final answer
    x = 190,705.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.