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Finding the Third Proportional to 55,305 and 85,056

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Solution

The third proportional to 55,305 and 85,056 is: 130,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,305 : 85,056 = 85,056 : x
  2. Step 2: Convert to fraction form
    55,305/85,056 = 85,056/x
  3. Step 3: Cross multiply
    55,305x = 85,056 × 85,056
  4. Step 4: Simplify right side
    55,305x = 7,234,523,136
  5. Step 5: Solve for x
    x = 7,234,523,136/55,305
  6. Step 6: Final answer
    x = 130,811.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.