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Finding the Third Proportional to 107,004 and 253,052

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Solution

The third proportional to 107,004 and 253,052 is: 598,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,004 : 253,052 = 253,052 : x
  2. Step 2: Convert to fraction form
    107,004/253,052 = 253,052/x
  3. Step 3: Cross multiply
    107,004x = 253,052 × 253,052
  4. Step 4: Simplify right side
    107,004x = 64,035,314,704
  5. Step 5: Solve for x
    x = 64,035,314,704/107,004
  6. Step 6: Final answer
    x = 598,438.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.