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Finding the Third Proportional to 124,053 and 269,111

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Solution

The third proportional to 124,053 and 269,111 is: 583,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,053 : 269,111 = 269,111 : x
  2. Step 2: Convert to fraction form
    124,053/269,111 = 269,111/x
  3. Step 3: Cross multiply
    124,053x = 269,111 × 269,111
  4. Step 4: Simplify right side
    124,053x = 72,420,730,321
  5. Step 5: Solve for x
    x = 72,420,730,321/124,053
  6. Step 6: Final answer
    x = 583,788.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.