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Finding the Third Proportional to 119,712 and 250,512.50

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Solution

The third proportional to 119,712 and 250,512.50 is: 524,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,712 : 250,512.50 = 250,512.50 : x
  2. Step 2: Convert to fraction form
    119,712/250,512.50 = 250,512.50/x
  3. Step 3: Cross multiply
    119,712x = 250,512.50 × 250,512.50
  4. Step 4: Simplify right side
    119,712x = 62,756,512,656.25
  5. Step 5: Solve for x
    x = 62,756,512,656.25/119,712
  6. Step 6: Final answer
    x = 524,229.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.