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Finding the Third Proportional to 119,142 and 248,088

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Solution

The third proportional to 119,142 and 248,088 is: 516,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,142 : 248,088 = 248,088 : x
  2. Step 2: Convert to fraction form
    119,142/248,088 = 248,088/x
  3. Step 3: Cross multiply
    119,142x = 248,088 × 248,088
  4. Step 4: Simplify right side
    119,142x = 61,547,655,744
  5. Step 5: Solve for x
    x = 61,547,655,744/119,142
  6. Step 6: Final answer
    x = 516,590.76

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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.