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Finding the Third Proportional to 116,964 and 172,950

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Solution

The third proportional to 116,964 and 172,950 is: 255,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,964 : 172,950 = 172,950 : x
  2. Step 2: Convert to fraction form
    116,964/172,950 = 172,950/x
  3. Step 3: Cross multiply
    116,964x = 172,950 × 172,950
  4. Step 4: Simplify right side
    116,964x = 29,911,702,500
  5. Step 5: Solve for x
    x = 29,911,702,500/116,964
  6. Step 6: Final answer
    x = 255,734.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.