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Finding the Third Proportional to 62,291 and 97,901

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Solution

The third proportional to 62,291 and 97,901 is: 153,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,291 : 97,901 = 97,901 : x
  2. Step 2: Convert to fraction form
    62,291/97,901 = 97,901/x
  3. Step 3: Cross multiply
    62,291x = 97,901 × 97,901
  4. Step 4: Simplify right side
    62,291x = 9,584,605,801
  5. Step 5: Solve for x
    x = 9,584,605,801/62,291
  6. Step 6: Final answer
    x = 153,868.23

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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.