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Finding the Third Proportional to 52,955 and 78,200.50

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Solution

The third proportional to 52,955 and 78,200.50 is: 115,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,955 : 78,200.50 = 78,200.50 : x
  2. Step 2: Convert to fraction form
    52,955/78,200.50 = 78,200.50/x
  3. Step 3: Cross multiply
    52,955x = 78,200.50 × 78,200.50
  4. Step 4: Simplify right side
    52,955x = 6,115,318,200.25
  5. Step 5: Solve for x
    x = 6,115,318,200.25/52,955
  6. Step 6: Final answer
    x = 115,481.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.