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Finding the Third Proportional to 67,041 and 98,370

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Solution

The third proportional to 67,041 and 98,370 is: 144,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,041 : 98,370 = 98,370 : x
  2. Step 2: Convert to fraction form
    67,041/98,370 = 98,370/x
  3. Step 3: Cross multiply
    67,041x = 98,370 × 98,370
  4. Step 4: Simplify right side
    67,041x = 9,676,656,900
  5. Step 5: Solve for x
    x = 9,676,656,900/67,041
  6. Step 6: Final answer
    x = 144,339.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.