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Finding the Third Proportional to 77,514 and 116,271

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Solution

The third proportional to 77,514 and 116,271 is: 174,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,514 : 116,271 = 116,271 : x
  2. Step 2: Convert to fraction form
    77,514/116,271 = 116,271/x
  3. Step 3: Cross multiply
    77,514x = 116,271 × 116,271
  4. Step 4: Simplify right side
    77,514x = 13,518,945,441
  5. Step 5: Solve for x
    x = 13,518,945,441/77,514
  6. Step 6: Final answer
    x = 174,406.50

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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.