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Finding the Third Proportional to 71,803 and 112,932.50

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Solution

The third proportional to 71,803 and 112,932.50 is: 177,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,803 : 112,932.50 = 112,932.50 : x
  2. Step 2: Convert to fraction form
    71,803/112,932.50 = 112,932.50/x
  3. Step 3: Cross multiply
    71,803x = 112,932.50 × 112,932.50
  4. Step 4: Simplify right side
    71,803x = 12,753,749,556.25
  5. Step 5: Solve for x
    x = 12,753,749,556.25/71,803
  6. Step 6: Final answer
    x = 177,621.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.