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Finding the Third Proportional to 56,672 and 124,784

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Solution

The third proportional to 56,672 and 124,784 is: 274,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,672 : 124,784 = 124,784 : x
  2. Step 2: Convert to fraction form
    56,672/124,784 = 124,784/x
  3. Step 3: Cross multiply
    56,672x = 124,784 × 124,784
  4. Step 4: Simplify right side
    56,672x = 15,571,046,656
  5. Step 5: Solve for x
    x = 15,571,046,656/56,672
  6. Step 6: Final answer
    x = 274,757.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.