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Finding the Third Proportional to 59,537.25 and 127,262.81

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Solution

The third proportional to 59,537.25 and 127,262.81 is: 272,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,537.25 : 127,262.81 = 127,262.81 : x
  2. Step 2: Convert to fraction form
    59,537.25/127,262.81 = 127,262.81/x
  3. Step 3: Cross multiply
    59,537.25x = 127,262.81 × 127,262.81
  4. Step 4: Simplify right side
    59,537.25x = 16,195,823,445.41
  5. Step 5: Solve for x
    x = 16,195,823,445.41/59,537.25
  6. Step 6: Final answer
    x = 272,028.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.