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Finding the Third Proportional to 61,223.63 and 93,647.81

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Solution

The third proportional to 61,223.63 and 93,647.81 is: 143,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,223.63 : 93,647.81 = 93,647.81 : x
  2. Step 2: Convert to fraction form
    61,223.63/93,647.81 = 93,647.81/x
  3. Step 3: Cross multiply
    61,223.63x = 93,647.81 × 93,647.81
  4. Step 4: Simplify right side
    61,223.63x = 8,769,912,786.04
  5. Step 5: Solve for x
    x = 8,769,912,786.04/61,223.63
  6. Step 6: Final answer
    x = 143,243.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.