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Finding the Third Proportional to 35,108 and 77,018

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Solution

The third proportional to 35,108 and 77,018 is: 168,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,108 : 77,018 = 77,018 : x
  2. Step 2: Convert to fraction form
    35,108/77,018 = 77,018/x
  3. Step 3: Cross multiply
    35,108x = 77,018 × 77,018
  4. Step 4: Simplify right side
    35,108x = 5,931,772,324
  5. Step 5: Solve for x
    x = 5,931,772,324/35,108
  6. Step 6: Final answer
    x = 168,957.85

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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.