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Finding the Third Proportional to 69,260 and 149,590

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Solution

The third proportional to 69,260 and 149,590 is: 323,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,260 : 149,590 = 149,590 : x
  2. Step 2: Convert to fraction form
    69,260/149,590 = 149,590/x
  3. Step 3: Cross multiply
    69,260x = 149,590 × 149,590
  4. Step 4: Simplify right side
    69,260x = 22,377,168,100
  5. Step 5: Solve for x
    x = 22,377,168,100/69,260
  6. Step 6: Final answer
    x = 323,089.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.