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Finding the Third Proportional to 73,147 and 98,056

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Solution

The third proportional to 73,147 and 98,056 is: 131,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147 : 98,056 = 98,056 : x
  2. Step 2: Convert to fraction form
    73,147/98,056 = 98,056/x
  3. Step 3: Cross multiply
    73,147x = 98,056 × 98,056
  4. Step 4: Simplify right side
    73,147x = 9,614,979,136
  5. Step 5: Solve for x
    x = 9,614,979,136/73,147
  6. Step 6: Final answer
    x = 131,447.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.