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Finding the Third Proportional to 119,004 and 175,212

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Solution

The third proportional to 119,004 and 175,212 is: 257,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,004 : 175,212 = 175,212 : x
  2. Step 2: Convert to fraction form
    119,004/175,212 = 175,212/x
  3. Step 3: Cross multiply
    119,004x = 175,212 × 175,212
  4. Step 4: Simplify right side
    119,004x = 30,699,244,944
  5. Step 5: Solve for x
    x = 30,699,244,944/119,004
  6. Step 6: Final answer
    x = 257,968.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.