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Finding the Third Proportional to 102,338 and 155,985

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Solution

The third proportional to 102,338 and 155,985 is: 237,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,338 : 155,985 = 155,985 : x
  2. Step 2: Convert to fraction form
    102,338/155,985 = 155,985/x
  3. Step 3: Cross multiply
    102,338x = 155,985 × 155,985
  4. Step 4: Simplify right side
    102,338x = 24,331,320,225
  5. Step 5: Solve for x
    x = 24,331,320,225/102,338
  6. Step 6: Final answer
    x = 237,754.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.