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Finding the Third Proportional to 124,545 and 257,951

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Solution

The third proportional to 124,545 and 257,951 is: 534,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,545 : 257,951 = 257,951 : x
  2. Step 2: Convert to fraction form
    124,545/257,951 = 257,951/x
  3. Step 3: Cross multiply
    124,545x = 257,951 × 257,951
  4. Step 4: Simplify right side
    124,545x = 66,538,718,401
  5. Step 5: Solve for x
    x = 66,538,718,401/124,545
  6. Step 6: Final answer
    x = 534,254.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.