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Finding the Third Proportional to 51,614 and 75,430

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Solution

The third proportional to 51,614 and 75,430 is: 110,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,614 : 75,430 = 75,430 : x
  2. Step 2: Convert to fraction form
    51,614/75,430 = 75,430/x
  3. Step 3: Cross multiply
    51,614x = 75,430 × 75,430
  4. Step 4: Simplify right side
    51,614x = 5,689,684,900
  5. Step 5: Solve for x
    x = 5,689,684,900/51,614
  6. Step 6: Final answer
    x = 110,235.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.