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Finding the Third Proportional to 66,498 and 102,834

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Solution

The third proportional to 66,498 and 102,834 is: 159,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498 : 102,834 = 102,834 : x
  2. Step 2: Convert to fraction form
    66,498/102,834 = 102,834/x
  3. Step 3: Cross multiply
    66,498x = 102,834 × 102,834
  4. Step 4: Simplify right side
    66,498x = 10,574,831,556
  5. Step 5: Solve for x
    x = 10,574,831,556/66,498
  6. Step 6: Final answer
    x = 159,024.81

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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.