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Finding the Third Proportional to 35,063 and 77,138

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Solution

The third proportional to 35,063 and 77,138 is: 169,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,063 : 77,138 = 77,138 : x
  2. Step 2: Convert to fraction form
    35,063/77,138 = 77,138/x
  3. Step 3: Cross multiply
    35,063x = 77,138 × 77,138
  4. Step 4: Simplify right side
    35,063x = 5,950,271,044
  5. Step 5: Solve for x
    x = 5,950,271,044/35,063
  6. Step 6: Final answer
    x = 169,702.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.