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Finding the Third Proportional to 63,042 and 97,611

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Solution

The third proportional to 63,042 and 97,611 is: 151,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,042 : 97,611 = 97,611 : x
  2. Step 2: Convert to fraction form
    63,042/97,611 = 97,611/x
  3. Step 3: Cross multiply
    63,042x = 97,611 × 97,611
  4. Step 4: Simplify right side
    63,042x = 9,527,907,321
  5. Step 5: Solve for x
    x = 9,527,907,321/63,042
  6. Step 6: Final answer
    x = 151,135.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.