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Finding the Third Proportional to 53,634 and 85,056

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Solution

The third proportional to 53,634 and 85,056 is: 134,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,634 : 85,056 = 85,056 : x
  2. Step 2: Convert to fraction form
    53,634/85,056 = 85,056/x
  3. Step 3: Cross multiply
    53,634x = 85,056 × 85,056
  4. Step 4: Simplify right side
    53,634x = 7,234,523,136
  5. Step 5: Solve for x
    x = 7,234,523,136/53,634
  6. Step 6: Final answer
    x = 134,886.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.