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Finding the Third Proportional to 52,533 and 78,614

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Solution

The third proportional to 52,533 and 78,614 is: 117,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533 : 78,614 = 78,614 : x
  2. Step 2: Convert to fraction form
    52,533/78,614 = 78,614/x
  3. Step 3: Cross multiply
    52,533x = 78,614 × 78,614
  4. Step 4: Simplify right side
    52,533x = 6,180,160,996
  5. Step 5: Solve for x
    x = 6,180,160,996/52,533
  6. Step 6: Final answer
    x = 117,643.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.