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Finding the Third Proportional to 102,368 and 156,794

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Solution

The third proportional to 102,368 and 156,794 is: 240,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,368 : 156,794 = 156,794 : x
  2. Step 2: Convert to fraction form
    102,368/156,794 = 156,794/x
  3. Step 3: Cross multiply
    102,368x = 156,794 × 156,794
  4. Step 4: Simplify right side
    102,368x = 24,584,358,436
  5. Step 5: Solve for x
    x = 24,584,358,436/102,368
  6. Step 6: Final answer
    x = 240,156.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.