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Finding the Third Proportional to 119,762.50 and 187,871.75

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Solution

The third proportional to 119,762.50 and 187,871.75 is: 294,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,762.50 : 187,871.75 = 187,871.75 : x
  2. Step 2: Convert to fraction form
    119,762.50/187,871.75 = 187,871.75/x
  3. Step 3: Cross multiply
    119,762.50x = 187,871.75 × 187,871.75
  4. Step 4: Simplify right side
    119,762.50x = 35,295,794,448.06
  5. Step 5: Solve for x
    x = 35,295,794,448.06/119,762.50
  6. Step 6: Final answer
    x = 294,714.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.