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Finding the Third Proportional to 119,026 and 157,964

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Solution

The third proportional to 119,026 and 157,964 is: 209,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,026 : 157,964 = 157,964 : x
  2. Step 2: Convert to fraction form
    119,026/157,964 = 157,964/x
  3. Step 3: Cross multiply
    119,026x = 157,964 × 157,964
  4. Step 4: Simplify right side
    119,026x = 24,952,625,296
  5. Step 5: Solve for x
    x = 24,952,625,296/119,026
  6. Step 6: Final answer
    x = 209,640.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.