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Finding the Third Proportional to 45,312 and 106,611

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Solution

The third proportional to 45,312 and 106,611 is: 250,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 106,611 = 106,611 : x
  2. Step 2: Convert to fraction form
    45,312/106,611 = 106,611/x
  3. Step 3: Cross multiply
    45,312x = 106,611 × 106,611
  4. Step 4: Simplify right side
    45,312x = 11,365,905,321
  5. Step 5: Solve for x
    x = 11,365,905,321/45,312
  6. Step 6: Final answer
    x = 250,836.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.