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Finding the Third Proportional to 61,311 and 131,368.50

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Solution

The third proportional to 61,311 and 131,368.50 is: 281,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,311 : 131,368.50 = 131,368.50 : x
  2. Step 2: Convert to fraction form
    61,311/131,368.50 = 131,368.50/x
  3. Step 3: Cross multiply
    61,311x = 131,368.50 × 131,368.50
  4. Step 4: Simplify right side
    61,311x = 17,257,682,792.25
  5. Step 5: Solve for x
    x = 17,257,682,792.25/61,311
  6. Step 6: Final answer
    x = 281,477.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.