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Finding the Third Proportional to 35,255 and 74,146

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Solution

The third proportional to 35,255 and 74,146 is: 155,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,255 : 74,146 = 74,146 : x
  2. Step 2: Convert to fraction form
    35,255/74,146 = 74,146/x
  3. Step 3: Cross multiply
    35,255x = 74,146 × 74,146
  4. Step 4: Simplify right side
    35,255x = 5,497,629,316
  5. Step 5: Solve for x
    x = 5,497,629,316/35,255
  6. Step 6: Final answer
    x = 155,939.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.