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Finding the Third Proportional to 52,535 and 78,617

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Solution

The third proportional to 52,535 and 78,617 is: 117,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,535 : 78,617 = 78,617 : x
  2. Step 2: Convert to fraction form
    52,535/78,617 = 78,617/x
  3. Step 3: Cross multiply
    52,535x = 78,617 × 78,617
  4. Step 4: Simplify right side
    52,535x = 6,180,632,689
  5. Step 5: Solve for x
    x = 6,180,632,689/52,535
  6. Step 6: Final answer
    x = 117,647.90

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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.