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Finding the Third Proportional to 62,292 and 146,240.25

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Solution

The third proportional to 62,292 and 146,240.25 is: 343,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,292 : 146,240.25 = 146,240.25 : x
  2. Step 2: Convert to fraction form
    62,292/146,240.25 = 146,240.25/x
  3. Step 3: Cross multiply
    62,292x = 146,240.25 × 146,240.25
  4. Step 4: Simplify right side
    62,292x = 21,386,210,720.06
  5. Step 5: Solve for x
    x = 21,386,210,720.06/62,292
  6. Step 6: Final answer
    x = 343,321.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.