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Finding the Third Proportional to 52,590 and 78,909

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Solution

The third proportional to 52,590 and 78,909 is: 118,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,590 : 78,909 = 78,909 : x
  2. Step 2: Convert to fraction form
    52,590/78,909 = 78,909/x
  3. Step 3: Cross multiply
    52,590x = 78,909 × 78,909
  4. Step 4: Simplify right side
    52,590x = 6,226,630,281
  5. Step 5: Solve for x
    x = 6,226,630,281/52,590
  6. Step 6: Final answer
    x = 118,399.51

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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.