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Finding the Third Proportional to 62,534.25 and 98,256.38

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Solution

The third proportional to 62,534.25 and 98,256.38 is: 154,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,534.25 : 98,256.38 = 98,256.38 : x
  2. Step 2: Convert to fraction form
    62,534.25/98,256.38 = 98,256.38/x
  3. Step 3: Cross multiply
    62,534.25x = 98,256.38 × 98,256.38
  4. Step 4: Simplify right side
    62,534.25x = 9,654,315,228.14
  5. Step 5: Solve for x
    x = 9,654,315,228.14/62,534.25
  6. Step 6: Final answer
    x = 154,384.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.