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Finding the Third Proportional to 56,498.50 and 83,019.50

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Solution

The third proportional to 56,498.50 and 83,019.50 is: 121,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498.50 : 83,019.50 = 83,019.50 : x
  2. Step 2: Convert to fraction form
    56,498.50/83,019.50 = 83,019.50/x
  3. Step 3: Cross multiply
    56,498.50x = 83,019.50 × 83,019.50
  4. Step 4: Simplify right side
    56,498.50x = 6,892,237,380.25
  5. Step 5: Solve for x
    x = 6,892,237,380.25/56,498.50
  6. Step 6: Final answer
    x = 121,989.74

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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.