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Finding the Third Proportional to 35,128 and 77,024

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Solution

The third proportional to 35,128 and 77,024 is: 168,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,128 : 77,024 = 77,024 : x
  2. Step 2: Convert to fraction form
    35,128/77,024 = 77,024/x
  3. Step 3: Cross multiply
    35,128x = 77,024 × 77,024
  4. Step 4: Simplify right side
    35,128x = 5,932,696,576
  5. Step 5: Solve for x
    x = 5,932,696,576/35,128
  6. Step 6: Final answer
    x = 168,887.97

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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.