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Finding the Third Proportional to 124,751 and 272,830

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Solution

The third proportional to 124,751 and 272,830 is: 596,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,751 : 272,830 = 272,830 : x
  2. Step 2: Convert to fraction form
    124,751/272,830 = 272,830/x
  3. Step 3: Cross multiply
    124,751x = 272,830 × 272,830
  4. Step 4: Simplify right side
    124,751x = 74,436,208,900
  5. Step 5: Solve for x
    x = 74,436,208,900/124,751
  6. Step 6: Final answer
    x = 596,678.25

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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.