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Finding the Third Proportional to 61,944 and 93,056

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Solution

The third proportional to 61,944 and 93,056 is: 139,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,944 : 93,056 = 93,056 : x
  2. Step 2: Convert to fraction form
    61,944/93,056 = 93,056/x
  3. Step 3: Cross multiply
    61,944x = 93,056 × 93,056
  4. Step 4: Simplify right side
    61,944x = 8,659,419,136
  5. Step 5: Solve for x
    x = 8,659,419,136/61,944
  6. Step 6: Final answer
    x = 139,794.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.