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Finding the Third Proportional to 37,701 and 78,465

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Solution

The third proportional to 37,701 and 78,465 is: 163,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701 : 78,465 = 78,465 : x
  2. Step 2: Convert to fraction form
    37,701/78,465 = 78,465/x
  3. Step 3: Cross multiply
    37,701x = 78,465 × 78,465
  4. Step 4: Simplify right side
    37,701x = 6,156,756,225
  5. Step 5: Solve for x
    x = 6,156,756,225/37,701
  6. Step 6: Final answer
    x = 163,304.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.