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Finding the Third Proportional to 89,710.50 and 139,305

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Solution

The third proportional to 89,710.50 and 139,305 is: 216,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,710.50 : 139,305 = 139,305 : x
  2. Step 2: Convert to fraction form
    89,710.50/139,305 = 139,305/x
  3. Step 3: Cross multiply
    89,710.50x = 139,305 × 139,305
  4. Step 4: Simplify right side
    89,710.50x = 19,405,883,025
  5. Step 5: Solve for x
    x = 19,405,883,025/89,710.50
  6. Step 6: Final answer
    x = 216,316.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.