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Finding the Third Proportional to 62,270.25 and 99,132.63

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Solution

The third proportional to 62,270.25 and 99,132.63 is: 157,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,270.25 : 99,132.63 = 99,132.63 : x
  2. Step 2: Convert to fraction form
    62,270.25/99,132.63 = 99,132.63/x
  3. Step 3: Cross multiply
    62,270.25x = 99,132.63 × 99,132.63
  4. Step 4: Simplify right side
    62,270.25x = 9,827,277,339.39
  5. Step 5: Solve for x
    x = 9,827,277,339.39/62,270.25
  6. Step 6: Final answer
    x = 157,816.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.