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Finding the Third Proportional to 59,133 and 127,013

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Solution

The third proportional to 59,133 and 127,013 is: 272,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,133 : 127,013 = 127,013 : x
  2. Step 2: Convert to fraction form
    59,133/127,013 = 127,013/x
  3. Step 3: Cross multiply
    59,133x = 127,013 × 127,013
  4. Step 4: Simplify right side
    59,133x = 16,132,302,169
  5. Step 5: Solve for x
    x = 16,132,302,169/59,133
  6. Step 6: Final answer
    x = 272,813.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.