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Finding the Third Proportional to 52,319 and 78,271

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Solution

The third proportional to 52,319 and 78,271 is: 117,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,319 : 78,271 = 78,271 : x
  2. Step 2: Convert to fraction form
    52,319/78,271 = 78,271/x
  3. Step 3: Cross multiply
    52,319x = 78,271 × 78,271
  4. Step 4: Simplify right side
    52,319x = 6,126,349,441
  5. Step 5: Solve for x
    x = 6,126,349,441/52,319
  6. Step 6: Final answer
    x = 117,096.07

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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.