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Finding the Third Proportional to 116,056 and 156,588

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Solution

The third proportional to 116,056 and 156,588 is: 211,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,056 : 156,588 = 156,588 : x
  2. Step 2: Convert to fraction form
    116,056/156,588 = 156,588/x
  3. Step 3: Cross multiply
    116,056x = 156,588 × 156,588
  4. Step 4: Simplify right side
    116,056x = 24,519,801,744
  5. Step 5: Solve for x
    x = 24,519,801,744/116,056
  6. Step 6: Final answer
    x = 211,275.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.