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Finding the Third Proportional to 115,508 and 172,792

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Solution

The third proportional to 115,508 and 172,792 is: 258,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,508 : 172,792 = 172,792 : x
  2. Step 2: Convert to fraction form
    115,508/172,792 = 172,792/x
  3. Step 3: Cross multiply
    115,508x = 172,792 × 172,792
  4. Step 4: Simplify right side
    115,508x = 29,857,075,264
  5. Step 5: Solve for x
    x = 29,857,075,264/115,508
  6. Step 6: Final answer
    x = 258,484.91

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