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Finding the Third Proportional to 49,520 and 70,554

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Solution

The third proportional to 49,520 and 70,554 is: 100,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,520 : 70,554 = 70,554 : x
  2. Step 2: Convert to fraction form
    49,520/70,554 = 70,554/x
  3. Step 3: Cross multiply
    49,520x = 70,554 × 70,554
  4. Step 4: Simplify right side
    49,520x = 4,977,866,916
  5. Step 5: Solve for x
    x = 4,977,866,916/49,520
  6. Step 6: Final answer
    x = 100,522.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.