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Finding the Third Proportional to 71,950 and 112,621.50

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Solution

The third proportional to 71,950 and 112,621.50 is: 176,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,950 : 112,621.50 = 112,621.50 : x
  2. Step 2: Convert to fraction form
    71,950/112,621.50 = 112,621.50/x
  3. Step 3: Cross multiply
    71,950x = 112,621.50 × 112,621.50
  4. Step 4: Simplify right side
    71,950x = 12,683,602,262.25
  5. Step 5: Solve for x
    x = 12,683,602,262.25/71,950
  6. Step 6: Final answer
    x = 176,283.56

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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.