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Finding the Third Proportional to 52,413 and 80,658.50

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Solution

The third proportional to 52,413 and 80,658.50 is: 124,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,413 : 80,658.50 = 80,658.50 : x
  2. Step 2: Convert to fraction form
    52,413/80,658.50 = 80,658.50/x
  3. Step 3: Cross multiply
    52,413x = 80,658.50 × 80,658.50
  4. Step 4: Simplify right side
    52,413x = 6,505,793,622.25
  5. Step 5: Solve for x
    x = 6,505,793,622.25/52,413
  6. Step 6: Final answer
    x = 124,125.57

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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.