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Finding the Third Proportional to 35,169 and 74,658

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Solution

The third proportional to 35,169 and 74,658 is: 158,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,169 : 74,658 = 74,658 : x
  2. Step 2: Convert to fraction form
    35,169/74,658 = 74,658/x
  3. Step 3: Cross multiply
    35,169x = 74,658 × 74,658
  4. Step 4: Simplify right side
    35,169x = 5,573,816,964
  5. Step 5: Solve for x
    x = 5,573,816,964/35,169
  6. Step 6: Final answer
    x = 158,486.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.