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Finding the Third Proportional to 59,114 and 127,606

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Solution

The third proportional to 59,114 and 127,606 is: 275,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,114 : 127,606 = 127,606 : x
  2. Step 2: Convert to fraction form
    59,114/127,606 = 127,606/x
  3. Step 3: Cross multiply
    59,114x = 127,606 × 127,606
  4. Step 4: Simplify right side
    59,114x = 16,283,291,236
  5. Step 5: Solve for x
    x = 16,283,291,236/59,114
  6. Step 6: Final answer
    x = 275,455.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.