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Finding the Third Proportional to 98,970 and 152,901

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Solution

The third proportional to 98,970 and 152,901 is: 236,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,970 : 152,901 = 152,901 : x
  2. Step 2: Convert to fraction form
    98,970/152,901 = 152,901/x
  3. Step 3: Cross multiply
    98,970x = 152,901 × 152,901
  4. Step 4: Simplify right side
    98,970x = 23,378,715,801
  5. Step 5: Solve for x
    x = 23,378,715,801/98,970
  6. Step 6: Final answer
    x = 236,220.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.