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Finding the Third Proportional to 116,979 and 174,689

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Solution

The third proportional to 116,979 and 174,689 is: 260,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,979 : 174,689 = 174,689 : x
  2. Step 2: Convert to fraction form
    116,979/174,689 = 174,689/x
  3. Step 3: Cross multiply
    116,979x = 174,689 × 174,689
  4. Step 4: Simplify right side
    116,979x = 30,516,246,721
  5. Step 5: Solve for x
    x = 30,516,246,721/116,979
  6. Step 6: Final answer
    x = 260,869.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.