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Finding the Third Proportional to 102,023 and 143,417

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Solution

The third proportional to 102,023 and 143,417 is: 201,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023 : 143,417 = 143,417 : x
  2. Step 2: Convert to fraction form
    102,023/143,417 = 143,417/x
  3. Step 3: Cross multiply
    102,023x = 143,417 × 143,417
  4. Step 4: Simplify right side
    102,023x = 20,568,435,889
  5. Step 5: Solve for x
    x = 20,568,435,889/102,023
  6. Step 6: Final answer
    x = 201,605.87

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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.