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Finding the Third Proportional to 125,030 and 269,788

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Solution

The third proportional to 125,030 and 269,788 is: 582,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,030 : 269,788 = 269,788 : x
  2. Step 2: Convert to fraction form
    125,030/269,788 = 269,788/x
  3. Step 3: Cross multiply
    125,030x = 269,788 × 269,788
  4. Step 4: Simplify right side
    125,030x = 72,785,564,944
  5. Step 5: Solve for x
    x = 72,785,564,944/125,030
  6. Step 6: Final answer
    x = 582,144.80

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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.