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Finding the Third Proportional to 87,292 and 190,140

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Solution

The third proportional to 87,292 and 190,140 is: 414,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,292 : 190,140 = 190,140 : x
  2. Step 2: Convert to fraction form
    87,292/190,140 = 190,140/x
  3. Step 3: Cross multiply
    87,292x = 190,140 × 190,140
  4. Step 4: Simplify right side
    87,292x = 36,153,219,600
  5. Step 5: Solve for x
    x = 36,153,219,600/87,292
  6. Step 6: Final answer
    x = 414,164.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.