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Finding the Third Proportional to 124,641 and 266,994

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Solution

The third proportional to 124,641 and 266,994 is: 571,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,641 : 266,994 = 266,994 : x
  2. Step 2: Convert to fraction form
    124,641/266,994 = 266,994/x
  3. Step 3: Cross multiply
    124,641x = 266,994 × 266,994
  4. Step 4: Simplify right side
    124,641x = 71,285,796,036
  5. Step 5: Solve for x
    x = 71,285,796,036/124,641
  6. Step 6: Final answer
    x = 571,928.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.