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Finding the Third Proportional to 52,530.50 and 80,740

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Solution

The third proportional to 52,530.50 and 80,740 is: 124,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,530.50 : 80,740 = 80,740 : x
  2. Step 2: Convert to fraction form
    52,530.50/80,740 = 80,740/x
  3. Step 3: Cross multiply
    52,530.50x = 80,740 × 80,740
  4. Step 4: Simplify right side
    52,530.50x = 6,518,947,600
  5. Step 5: Solve for x
    x = 6,518,947,600/52,530.50
  6. Step 6: Final answer
    x = 124,098.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.