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Finding the Third Proportional to 119,066 and 162,145

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Solution

The third proportional to 119,066 and 162,145 is: 220,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,066 : 162,145 = 162,145 : x
  2. Step 2: Convert to fraction form
    119,066/162,145 = 162,145/x
  3. Step 3: Cross multiply
    119,066x = 162,145 × 162,145
  4. Step 4: Simplify right side
    119,066x = 26,291,001,025
  5. Step 5: Solve for x
    x = 26,291,001,025/119,066
  6. Step 6: Final answer
    x = 220,810.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.