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Finding the Third Proportional to 43,611 and 97,090

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Solution

The third proportional to 43,611 and 97,090 is: 216,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,611 : 97,090 = 97,090 : x
  2. Step 2: Convert to fraction form
    43,611/97,090 = 97,090/x
  3. Step 3: Cross multiply
    43,611x = 97,090 × 97,090
  4. Step 4: Simplify right side
    43,611x = 9,426,468,100
  5. Step 5: Solve for x
    x = 9,426,468,100/43,611
  6. Step 6: Final answer
    x = 216,148.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.