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Finding the Third Proportional to 124,316 and 272,827

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Solution

The third proportional to 124,316 and 272,827 is: 598,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,316 : 272,827 = 272,827 : x
  2. Step 2: Convert to fraction form
    124,316/272,827 = 272,827/x
  3. Step 3: Cross multiply
    124,316x = 272,827 × 272,827
  4. Step 4: Simplify right side
    124,316x = 74,434,571,929
  5. Step 5: Solve for x
    x = 74,434,571,929/124,316
  6. Step 6: Final answer
    x = 598,752.95

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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.