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Finding the Third Proportional to 119,159 and 248,119

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Solution

The third proportional to 119,159 and 248,119 is: 516,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159 : 248,119 = 248,119 : x
  2. Step 2: Convert to fraction form
    119,159/248,119 = 248,119/x
  3. Step 3: Cross multiply
    119,159x = 248,119 × 248,119
  4. Step 4: Simplify right side
    119,159x = 61,563,038,161
  5. Step 5: Solve for x
    x = 61,563,038,161/119,159
  6. Step 6: Final answer
    x = 516,646.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.