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Finding the Third Proportional to 61,101 and 127,787.63

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Solution

The third proportional to 61,101 and 127,787.63 is: 267,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,101 : 127,787.63 = 127,787.63 : x
  2. Step 2: Convert to fraction form
    61,101/127,787.63 = 127,787.63/x
  3. Step 3: Cross multiply
    61,101x = 127,787.63 × 127,787.63
  4. Step 4: Simplify right side
    61,101x = 16,329,677,103.14
  5. Step 5: Solve for x
    x = 16,329,677,103.14/61,101
  6. Step 6: Final answer
    x = 267,257.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.