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Finding the Third Proportional to 102,006 and 153,009

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Solution

The third proportional to 102,006 and 153,009 is: 229,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006 : 153,009 = 153,009 : x
  2. Step 2: Convert to fraction form
    102,006/153,009 = 153,009/x
  3. Step 3: Cross multiply
    102,006x = 153,009 × 153,009
  4. Step 4: Simplify right side
    102,006x = 23,411,754,081
  5. Step 5: Solve for x
    x = 23,411,754,081/102,006
  6. Step 6: Final answer
    x = 229,513.50

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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.