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Finding the Third Proportional to 115,496 and 172,773

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Solution

The third proportional to 115,496 and 172,773 is: 258,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,496 : 172,773 = 172,773 : x
  2. Step 2: Convert to fraction form
    115,496/172,773 = 172,773/x
  3. Step 3: Cross multiply
    115,496x = 172,773 × 172,773
  4. Step 4: Simplify right side
    115,496x = 29,850,509,529
  5. Step 5: Solve for x
    x = 29,850,509,529/115,496
  6. Step 6: Final answer
    x = 258,454.92

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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.