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Finding the Third Proportional to 61,021.50 and 89,659.50

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Solution

The third proportional to 61,021.50 and 89,659.50 is: 131,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,021.50 : 89,659.50 = 89,659.50 : x
  2. Step 2: Convert to fraction form
    61,021.50/89,659.50 = 89,659.50/x
  3. Step 3: Cross multiply
    61,021.50x = 89,659.50 × 89,659.50
  4. Step 4: Simplify right side
    61,021.50x = 8,038,825,940.25
  5. Step 5: Solve for x
    x = 8,038,825,940.25/61,021.50
  6. Step 6: Final answer
    x = 131,737.60

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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.