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Finding the Third Proportional to 56,516 and 82,747

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Solution

The third proportional to 56,516 and 82,747 is: 121,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516 : 82,747 = 82,747 : x
  2. Step 2: Convert to fraction form
    56,516/82,747 = 82,747/x
  3. Step 3: Cross multiply
    56,516x = 82,747 × 82,747
  4. Step 4: Simplify right side
    56,516x = 6,847,066,009
  5. Step 5: Solve for x
    x = 6,847,066,009/56,516
  6. Step 6: Final answer
    x = 121,152.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.