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Finding the Third Proportional to 35,260 and 75,969

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Solution

The third proportional to 35,260 and 75,969 is: 163,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,260 : 75,969 = 75,969 : x
  2. Step 2: Convert to fraction form
    35,260/75,969 = 75,969/x
  3. Step 3: Cross multiply
    35,260x = 75,969 × 75,969
  4. Step 4: Simplify right side
    35,260x = 5,771,288,961
  5. Step 5: Solve for x
    x = 5,771,288,961/35,260
  6. Step 6: Final answer
    x = 163,678.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.