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Finding the Third Proportional to 72,562.50 and 109,938.52

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Solution

The third proportional to 72,562.50 and 109,938.52 is: 166,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,562.50 : 109,938.52 = 109,938.52 : x
  2. Step 2: Convert to fraction form
    72,562.50/109,938.52 = 109,938.52/x
  3. Step 3: Cross multiply
    72,562.50x = 109,938.52 × 109,938.52
  4. Step 4: Simplify right side
    72,562.50x = 12,086,477,217.83
  5. Step 5: Solve for x
    x = 12,086,477,217.83/72,562.50
  6. Step 6: Final answer
    x = 166,566.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.