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Finding the Third Proportional to 124,664 and 272,696

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Solution

The third proportional to 124,664 and 272,696 is: 596,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,664 : 272,696 = 272,696 : x
  2. Step 2: Convert to fraction form
    124,664/272,696 = 272,696/x
  3. Step 3: Cross multiply
    124,664x = 272,696 × 272,696
  4. Step 4: Simplify right side
    124,664x = 74,363,108,416
  5. Step 5: Solve for x
    x = 74,363,108,416/124,664
  6. Step 6: Final answer
    x = 596,508.28

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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.