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Finding the Third Proportional to 35,407 and 77,255

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Solution

The third proportional to 35,407 and 77,255 is: 168,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,407 : 77,255 = 77,255 : x
  2. Step 2: Convert to fraction form
    35,407/77,255 = 77,255/x
  3. Step 3: Cross multiply
    35,407x = 77,255 × 77,255
  4. Step 4: Simplify right side
    35,407x = 5,968,335,025
  5. Step 5: Solve for x
    x = 5,968,335,025/35,407
  6. Step 6: Final answer
    x = 168,563.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.