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Finding the Third Proportional to 52,545 and 78,627

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Solution

The third proportional to 52,545 and 78,627 is: 117,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,545 : 78,627 = 78,627 : x
  2. Step 2: Convert to fraction form
    52,545/78,627 = 78,627/x
  3. Step 3: Cross multiply
    52,545x = 78,627 × 78,627
  4. Step 4: Simplify right side
    52,545x = 6,182,205,129
  5. Step 5: Solve for x
    x = 6,182,205,129/52,545
  6. Step 6: Final answer
    x = 117,655.44

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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.