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Finding the Third Proportional to 46,098 and 67,131

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Solution

The third proportional to 46,098 and 67,131 is: 97,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,098 : 67,131 = 67,131 : x
  2. Step 2: Convert to fraction form
    46,098/67,131 = 67,131/x
  3. Step 3: Cross multiply
    46,098x = 67,131 × 67,131
  4. Step 4: Simplify right side
    46,098x = 4,506,571,161
  5. Step 5: Solve for x
    x = 4,506,571,161/46,098
  6. Step 6: Final answer
    x = 97,760.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.