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Finding the Third Proportional to 52,293 and 78,558.50

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Solution

The third proportional to 52,293 and 78,558.50 is: 118,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,293 : 78,558.50 = 78,558.50 : x
  2. Step 2: Convert to fraction form
    52,293/78,558.50 = 78,558.50/x
  3. Step 3: Cross multiply
    52,293x = 78,558.50 × 78,558.50
  4. Step 4: Simplify right side
    52,293x = 6,171,437,922.25
  5. Step 5: Solve for x
    x = 6,171,437,922.25/52,293
  6. Step 6: Final answer
    x = 118,016.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.