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Finding the Third Proportional to 56,126 and 121,784

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Solution

The third proportional to 56,126 and 121,784 is: 264,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,126 : 121,784 = 121,784 : x
  2. Step 2: Convert to fraction form
    56,126/121,784 = 121,784/x
  3. Step 3: Cross multiply
    56,126x = 121,784 × 121,784
  4. Step 4: Simplify right side
    56,126x = 14,831,342,656
  5. Step 5: Solve for x
    x = 14,831,342,656/56,126
  6. Step 6: Final answer
    x = 264,250.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.