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Finding the Third Proportional to 62,402 and 143,333

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Solution

The third proportional to 62,402 and 143,333 is: 329,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,402 : 143,333 = 143,333 : x
  2. Step 2: Convert to fraction form
    62,402/143,333 = 143,333/x
  3. Step 3: Cross multiply
    62,402x = 143,333 × 143,333
  4. Step 4: Simplify right side
    62,402x = 20,544,348,889
  5. Step 5: Solve for x
    x = 20,544,348,889/62,402
  6. Step 6: Final answer
    x = 329,225.81

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.