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Finding the Third Proportional to 62,025.75 and 145,648.13

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Solution

The third proportional to 62,025.75 and 145,648.13 is: 342,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,025.75 : 145,648.13 = 145,648.13 : x
  2. Step 2: Convert to fraction form
    62,025.75/145,648.13 = 145,648.13/x
  3. Step 3: Cross multiply
    62,025.75x = 145,648.13 × 145,648.13
  4. Step 4: Simplify right side
    62,025.75x = 21,213,376,316.02
  5. Step 5: Solve for x
    x = 21,213,376,316.02/62,025.75
  6. Step 6: Final answer
    x = 342,009.19

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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.