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Finding the Third Proportional to 102,006 and 153,098.25

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Solution

The third proportional to 102,006 and 153,098.25 is: 229,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006 : 153,098.25 = 153,098.25 : x
  2. Step 2: Convert to fraction form
    102,006/153,098.25 = 153,098.25/x
  3. Step 3: Cross multiply
    102,006x = 153,098.25 × 153,098.25
  4. Step 4: Simplify right side
    102,006x = 23,439,074,153.06
  5. Step 5: Solve for x
    x = 23,439,074,153.06/102,006
  6. Step 6: Final answer
    x = 229,781.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.