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Finding the Third Proportional to 60,640 and 92,056

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Solution

The third proportional to 60,640 and 92,056 is: 139,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,640 : 92,056 = 92,056 : x
  2. Step 2: Convert to fraction form
    60,640/92,056 = 92,056/x
  3. Step 3: Cross multiply
    60,640x = 92,056 × 92,056
  4. Step 4: Simplify right side
    60,640x = 8,474,307,136
  5. Step 5: Solve for x
    x = 8,474,307,136/60,640
  6. Step 6: Final answer
    x = 139,747.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.