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Finding the Third Proportional to 67,507 and 156,283

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Solution

The third proportional to 67,507 and 156,283 is: 361,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,507 : 156,283 = 156,283 : x
  2. Step 2: Convert to fraction form
    67,507/156,283 = 156,283/x
  3. Step 3: Cross multiply
    67,507x = 156,283 × 156,283
  4. Step 4: Simplify right side
    67,507x = 24,424,376,089
  5. Step 5: Solve for x
    x = 24,424,376,089/67,507
  6. Step 6: Final answer
    x = 361,805.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.