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Finding the Third Proportional to 115,499 and 172,777

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Solution

The third proportional to 115,499 and 172,777 is: 258,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,499 : 172,777 = 172,777 : x
  2. Step 2: Convert to fraction form
    115,499/172,777 = 172,777/x
  3. Step 3: Cross multiply
    115,499x = 172,777 × 172,777
  4. Step 4: Simplify right side
    115,499x = 29,851,891,729
  5. Step 5: Solve for x
    x = 29,851,891,729/115,499
  6. Step 6: Final answer
    x = 258,460.17

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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.