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Finding the Third Proportional to 62,300 and 96,627

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Solution

The third proportional to 62,300 and 96,627 is: 149,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,300 : 96,627 = 96,627 : x
  2. Step 2: Convert to fraction form
    62,300/96,627 = 96,627/x
  3. Step 3: Cross multiply
    62,300x = 96,627 × 96,627
  4. Step 4: Simplify right side
    62,300x = 9,336,777,129
  5. Step 5: Solve for x
    x = 9,336,777,129/62,300
  6. Step 6: Final answer
    x = 149,868.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.