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Finding the Third Proportional to 116,716 and 169,971

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Solution

The third proportional to 116,716 and 169,971 is: 247,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,716 : 169,971 = 169,971 : x
  2. Step 2: Convert to fraction form
    116,716/169,971 = 169,971/x
  3. Step 3: Cross multiply
    116,716x = 169,971 × 169,971
  4. Step 4: Simplify right side
    116,716x = 28,890,140,841
  5. Step 5: Solve for x
    x = 28,890,140,841/116,716
  6. Step 6: Final answer
    x = 247,525.11

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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.