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Finding the Third Proportional to 35,178 and 74,970

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Solution

The third proportional to 35,178 and 74,970 is: 159,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,178 : 74,970 = 74,970 : x
  2. Step 2: Convert to fraction form
    35,178/74,970 = 74,970/x
  3. Step 3: Cross multiply
    35,178x = 74,970 × 74,970
  4. Step 4: Simplify right side
    35,178x = 5,620,500,900
  5. Step 5: Solve for x
    x = 5,620,500,900/35,178
  6. Step 6: Final answer
    x = 159,773.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.