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Finding the Third Proportional to 102,010 and 155,938

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Solution

The third proportional to 102,010 and 155,938 is: 238,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,010 : 155,938 = 155,938 : x
  2. Step 2: Convert to fraction form
    102,010/155,938 = 155,938/x
  3. Step 3: Cross multiply
    102,010x = 155,938 × 155,938
  4. Step 4: Simplify right side
    102,010x = 24,316,659,844
  5. Step 5: Solve for x
    x = 24,316,659,844/102,010
  6. Step 6: Final answer
    x = 238,375.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.