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Finding the Third Proportional to 60,945 and 89,655

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Solution

The third proportional to 60,945 and 89,655 is: 131,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,945 : 89,655 = 89,655 : x
  2. Step 2: Convert to fraction form
    60,945/89,655 = 89,655/x
  3. Step 3: Cross multiply
    60,945x = 89,655 × 89,655
  4. Step 4: Simplify right side
    60,945x = 8,038,019,025
  5. Step 5: Solve for x
    x = 8,038,019,025/60,945
  6. Step 6: Final answer
    x = 131,889.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.