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Finding the Third Proportional to 26,143 and 61,705

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Solution

The third proportional to 26,143 and 61,705 is: 145,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143 : 61,705 = 61,705 : x
  2. Step 2: Convert to fraction form
    26,143/61,705 = 61,705/x
  3. Step 3: Cross multiply
    26,143x = 61,705 × 61,705
  4. Step 4: Simplify right side
    26,143x = 3,807,507,025
  5. Step 5: Solve for x
    x = 3,807,507,025/26,143
  6. Step 6: Final answer
    x = 145,641.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.