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Finding the Third Proportional to 61,290.84 and 132,429.09

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Solution

The third proportional to 61,290.84 and 132,429.09 is: 286,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290.84 : 132,429.09 = 132,429.09 : x
  2. Step 2: Convert to fraction form
    61,290.84/132,429.09 = 132,429.09/x
  3. Step 3: Cross multiply
    61,290.84x = 132,429.09 × 132,429.09
  4. Step 4: Simplify right side
    61,290.84x = 17,537,464,871.45
  5. Step 5: Solve for x
    x = 17,537,464,871.45/61,290.84
  6. Step 6: Final answer
    x = 286,135.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.