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Finding the Third Proportional to 77,260 and 119,564

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Solution

The third proportional to 77,260 and 119,564 is: 185,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,260 : 119,564 = 119,564 : x
  2. Step 2: Convert to fraction form
    77,260/119,564 = 119,564/x
  3. Step 3: Cross multiply
    77,260x = 119,564 × 119,564
  4. Step 4: Simplify right side
    77,260x = 14,295,550,096
  5. Step 5: Solve for x
    x = 14,295,550,096/77,260
  6. Step 6: Final answer
    x = 185,031.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.