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Finding the Third Proportional to 56,516 and 75,000

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Solution

The third proportional to 56,516 and 75,000 is: 99,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516 : 75,000 = 75,000 : x
  2. Step 2: Convert to fraction form
    56,516/75,000 = 75,000/x
  3. Step 3: Cross multiply
    56,516x = 75,000 × 75,000
  4. Step 4: Simplify right side
    56,516x = 5,625,000,000
  5. Step 5: Solve for x
    x = 5,625,000,000/56,516
  6. Step 6: Final answer
    x = 99,529.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.