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Finding the Third Proportional to 35,342 and 77,326

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Solution

The third proportional to 35,342 and 77,326 is: 169,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,342 : 77,326 = 77,326 : x
  2. Step 2: Convert to fraction form
    35,342/77,326 = 77,326/x
  3. Step 3: Cross multiply
    35,342x = 77,326 × 77,326
  4. Step 4: Simplify right side
    35,342x = 5,979,310,276
  5. Step 5: Solve for x
    x = 5,979,310,276/35,342
  6. Step 6: Final answer
    x = 169,184.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.