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Finding the Third Proportional to 116,715 and 169,969

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Solution

The third proportional to 116,715 and 169,969 is: 247,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,715 : 169,969 = 169,969 : x
  2. Step 2: Convert to fraction form
    116,715/169,969 = 169,969/x
  3. Step 3: Cross multiply
    116,715x = 169,969 × 169,969
  4. Step 4: Simplify right side
    116,715x = 28,889,460,961
  5. Step 5: Solve for x
    x = 28,889,460,961/116,715
  6. Step 6: Final answer
    x = 247,521.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.