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Finding the Third Proportional to 34,372 and 75,056

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Solution

The third proportional to 34,372 and 75,056 is: 163,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,372 : 75,056 = 75,056 : x
  2. Step 2: Convert to fraction form
    34,372/75,056 = 75,056/x
  3. Step 3: Cross multiply
    34,372x = 75,056 × 75,056
  4. Step 4: Simplify right side
    34,372x = 5,633,403,136
  5. Step 5: Solve for x
    x = 5,633,403,136/34,372
  6. Step 6: Final answer
    x = 163,895.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.