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Finding the Third Proportional to 126,114 and 276,798

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Solution

The third proportional to 126,114 and 276,798 is: 607,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,114 : 276,798 = 276,798 : x
  2. Step 2: Convert to fraction form
    126,114/276,798 = 276,798/x
  3. Step 3: Cross multiply
    126,114x = 276,798 × 276,798
  4. Step 4: Simplify right side
    126,114x = 76,617,132,804
  5. Step 5: Solve for x
    x = 76,617,132,804/126,114
  6. Step 6: Final answer
    x = 607,522.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.