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Finding the Third Proportional to 61,020.84 and 132,537.09

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Solution

The third proportional to 61,020.84 and 132,537.09 is: 287,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,020.84 : 132,537.09 = 132,537.09 : x
  2. Step 2: Convert to fraction form
    61,020.84/132,537.09 = 132,537.09/x
  3. Step 3: Cross multiply
    61,020.84x = 132,537.09 × 132,537.09
  4. Step 4: Simplify right side
    61,020.84x = 17,566,081,219.70
  5. Step 5: Solve for x
    x = 17,566,081,219.70/61,020.84
  6. Step 6: Final answer
    x = 287,870.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.