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Finding the Third Proportional to 55,990.50 and 82,333.50

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Solution

The third proportional to 55,990.50 and 82,333.50 is: 121,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,990.50 : 82,333.50 = 82,333.50 : x
  2. Step 2: Convert to fraction form
    55,990.50/82,333.50 = 82,333.50/x
  3. Step 3: Cross multiply
    55,990.50x = 82,333.50 × 82,333.50
  4. Step 4: Simplify right side
    55,990.50x = 6,778,805,222.25
  5. Step 5: Solve for x
    x = 6,778,805,222.25/55,990.50
  6. Step 6: Final answer
    x = 121,070.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.