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Finding the Third Proportional to 77,808 and 120,358

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Solution

The third proportional to 77,808 and 120,358 is: 186,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808 : 120,358 = 120,358 : x
  2. Step 2: Convert to fraction form
    77,808/120,358 = 120,358/x
  3. Step 3: Cross multiply
    77,808x = 120,358 × 120,358
  4. Step 4: Simplify right side
    77,808x = 14,486,048,164
  5. Step 5: Solve for x
    x = 14,486,048,164/77,808
  6. Step 6: Final answer
    x = 186,176.85

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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.