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Finding the Third Proportional to 61,114.50 and 81,121.50

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Solution

The third proportional to 61,114.50 and 81,121.50 is: 107,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,114.50 : 81,121.50 = 81,121.50 : x
  2. Step 2: Convert to fraction form
    61,114.50/81,121.50 = 81,121.50/x
  3. Step 3: Cross multiply
    61,114.50x = 81,121.50 × 81,121.50
  4. Step 4: Simplify right side
    61,114.50x = 6,580,697,762.25
  5. Step 5: Solve for x
    x = 6,580,697,762.25/61,114.50
  6. Step 6: Final answer
    x = 107,678.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.