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Finding the Third Proportional to 52,321 and 78,277

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Solution

The third proportional to 52,321 and 78,277 is: 117,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,321 : 78,277 = 78,277 : x
  2. Step 2: Convert to fraction form
    52,321/78,277 = 78,277/x
  3. Step 3: Cross multiply
    52,321x = 78,277 × 78,277
  4. Step 4: Simplify right side
    52,321x = 6,127,288,729
  5. Step 5: Solve for x
    x = 6,127,288,729/52,321
  6. Step 6: Final answer
    x = 117,109.55

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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.