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Finding the Third Proportional to 60,952 and 89,622

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Solution

The third proportional to 60,952 and 89,622 is: 131,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,952 : 89,622 = 89,622 : x
  2. Step 2: Convert to fraction form
    60,952/89,622 = 89,622/x
  3. Step 3: Cross multiply
    60,952x = 89,622 × 89,622
  4. Step 4: Simplify right side
    60,952x = 8,032,102,884
  5. Step 5: Solve for x
    x = 8,032,102,884/60,952
  6. Step 6: Final answer
    x = 131,777.51

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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.