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Finding the Third Proportional to 127,107 and 275,130

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Solution

The third proportional to 127,107 and 275,130 is: 595,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,107 : 275,130 = 275,130 : x
  2. Step 2: Convert to fraction form
    127,107/275,130 = 275,130/x
  3. Step 3: Cross multiply
    127,107x = 275,130 × 275,130
  4. Step 4: Simplify right side
    127,107x = 75,696,516,900
  5. Step 5: Solve for x
    x = 75,696,516,900/127,107
  6. Step 6: Final answer
    x = 595,533.82

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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.