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Finding the Third Proportional to 60,766.50 and 91,990.50

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Solution

The third proportional to 60,766.50 and 91,990.50 is: 139,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,766.50 : 91,990.50 = 91,990.50 : x
  2. Step 2: Convert to fraction form
    60,766.50/91,990.50 = 91,990.50/x
  3. Step 3: Cross multiply
    60,766.50x = 91,990.50 × 91,990.50
  4. Step 4: Simplify right side
    60,766.50x = 8,462,252,090.25
  5. Step 5: Solve for x
    x = 8,462,252,090.25/60,766.50
  6. Step 6: Final answer
    x = 139,258.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.