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Finding the Third Proportional to 105,122 and 161,595

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Solution

The third proportional to 105,122 and 161,595 is: 248,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,122 : 161,595 = 161,595 : x
  2. Step 2: Convert to fraction form
    105,122/161,595 = 161,595/x
  3. Step 3: Cross multiply
    105,122x = 161,595 × 161,595
  4. Step 4: Simplify right side
    105,122x = 26,112,944,025
  5. Step 5: Solve for x
    x = 26,112,944,025/105,122
  6. Step 6: Final answer
    x = 248,406.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.