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Finding the Third Proportional to 117,010 and 252,699

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Solution

The third proportional to 117,010 and 252,699 is: 545,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,010 : 252,699 = 252,699 : x
  2. Step 2: Convert to fraction form
    117,010/252,699 = 252,699/x
  3. Step 3: Cross multiply
    117,010x = 252,699 × 252,699
  4. Step 4: Simplify right side
    117,010x = 63,856,784,601
  5. Step 5: Solve for x
    x = 63,856,784,601/117,010
  6. Step 6: Final answer
    x = 545,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.