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Finding the Third Proportional to 51,913 and 78,217.50

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Solution

The third proportional to 51,913 and 78,217.50 is: 117,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,913 : 78,217.50 = 78,217.50 : x
  2. Step 2: Convert to fraction form
    51,913/78,217.50 = 78,217.50/x
  3. Step 3: Cross multiply
    51,913x = 78,217.50 × 78,217.50
  4. Step 4: Simplify right side
    51,913x = 6,117,977,306.25
  5. Step 5: Solve for x
    x = 6,117,977,306.25/51,913
  6. Step 6: Final answer
    x = 117,850.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.