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Finding the Third Proportional to 115,316 and 172,974

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Solution

The third proportional to 115,316 and 172,974 is: 259,461

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,316 : 172,974 = 172,974 : x
  2. Step 2: Convert to fraction form
    115,316/172,974 = 172,974/x
  3. Step 3: Cross multiply
    115,316x = 172,974 × 172,974
  4. Step 4: Simplify right side
    115,316x = 29,920,004,676
  5. Step 5: Solve for x
    x = 29,920,004,676/115,316
  6. Step 6: Final answer
    x = 259,461

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.