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Finding the Third Proportional to 60,094.50 and 139,116

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Solution

The third proportional to 60,094.50 and 139,116 is: 322,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,094.50 : 139,116 = 139,116 : x
  2. Step 2: Convert to fraction form
    60,094.50/139,116 = 139,116/x
  3. Step 3: Cross multiply
    60,094.50x = 139,116 × 139,116
  4. Step 4: Simplify right side
    60,094.50x = 19,353,261,456
  5. Step 5: Solve for x
    x = 19,353,261,456/60,094.50
  6. Step 6: Final answer
    x = 322,047.13

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.