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Finding the Third Proportional to 75,604 and 162,764

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Solution

The third proportional to 75,604 and 162,764 is: 350,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,604 : 162,764 = 162,764 : x
  2. Step 2: Convert to fraction form
    75,604/162,764 = 162,764/x
  3. Step 3: Cross multiply
    75,604x = 162,764 × 162,764
  4. Step 4: Simplify right side
    75,604x = 26,492,119,696
  5. Step 5: Solve for x
    x = 26,492,119,696/75,604
  6. Step 6: Final answer
    x = 350,406.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.