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Finding the Third Proportional to 116,810 and 156,962

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Solution

The third proportional to 116,810 and 156,962 is: 210,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,810 : 156,962 = 156,962 : x
  2. Step 2: Convert to fraction form
    116,810/156,962 = 156,962/x
  3. Step 3: Cross multiply
    116,810x = 156,962 × 156,962
  4. Step 4: Simplify right side
    116,810x = 24,637,069,444
  5. Step 5: Solve for x
    x = 24,637,069,444/116,810
  6. Step 6: Final answer
    x = 210,915.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.