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Finding the Third Proportional to 61,292.95 and 132,757.73

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Solution

The third proportional to 61,292.95 and 132,757.73 is: 287,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,292.95 : 132,757.73 = 132,757.73 : x
  2. Step 2: Convert to fraction form
    61,292.95/132,757.73 = 132,757.73/x
  3. Step 3: Cross multiply
    61,292.95x = 132,757.73 × 132,757.73
  4. Step 4: Simplify right side
    61,292.95x = 17,624,616,036.38
  5. Step 5: Solve for x
    x = 17,624,616,036.38/61,292.95
  6. Step 6: Final answer
    x = 287,547.18

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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.