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Finding the Third Proportional to 124,754 and 272,836

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Solution

The third proportional to 124,754 and 272,836 is: 596,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,754 : 272,836 = 272,836 : x
  2. Step 2: Convert to fraction form
    124,754/272,836 = 272,836/x
  3. Step 3: Cross multiply
    124,754x = 272,836 × 272,836
  4. Step 4: Simplify right side
    124,754x = 74,439,482,896
  5. Step 5: Solve for x
    x = 74,439,482,896/124,754
  6. Step 6: Final answer
    x = 596,690.15

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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.