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Finding the Third Proportional to 55,213 and 73,561.50

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Solution

The third proportional to 55,213 and 73,561.50 is: 98,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213 : 73,561.50 = 73,561.50 : x
  2. Step 2: Convert to fraction form
    55,213/73,561.50 = 73,561.50/x
  3. Step 3: Cross multiply
    55,213x = 73,561.50 × 73,561.50
  4. Step 4: Simplify right side
    55,213x = 5,411,294,282.25
  5. Step 5: Solve for x
    x = 5,411,294,282.25/55,213
  6. Step 6: Final answer
    x = 98,007.61

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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.