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Finding the Third Proportional to 59,829.75 and 127,578.94

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Solution

The third proportional to 59,829.75 and 127,578.94 is: 272,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,829.75 : 127,578.94 = 127,578.94 : x
  2. Step 2: Convert to fraction form
    59,829.75/127,578.94 = 127,578.94/x
  3. Step 3: Cross multiply
    59,829.75x = 127,578.94 × 127,578.94
  4. Step 4: Simplify right side
    59,829.75x = 16,276,385,293.63
  5. Step 5: Solve for x
    x = 16,276,385,293.63/59,829.75
  6. Step 6: Final answer
    x = 272,045.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.