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Finding the Third Proportional to 102,013.25 and 143,402.50

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Solution

The third proportional to 102,013.25 and 143,402.50 is: 201,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,013.25 : 143,402.50 = 143,402.50 : x
  2. Step 2: Convert to fraction form
    102,013.25/143,402.50 = 143,402.50/x
  3. Step 3: Cross multiply
    102,013.25x = 143,402.50 × 143,402.50
  4. Step 4: Simplify right side
    102,013.25x = 20,564,277,006.25
  5. Step 5: Solve for x
    x = 20,564,277,006.25/102,013.25
  6. Step 6: Final answer
    x = 201,584.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.