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Finding the Third Proportional to 74,534 and 110,787

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Solution

The third proportional to 74,534 and 110,787 is: 164,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,534 : 110,787 = 110,787 : x
  2. Step 2: Convert to fraction form
    74,534/110,787 = 110,787/x
  3. Step 3: Cross multiply
    74,534x = 110,787 × 110,787
  4. Step 4: Simplify right side
    74,534x = 12,273,759,369
  5. Step 5: Solve for x
    x = 12,273,759,369/74,534
  6. Step 6: Final answer
    x = 164,673.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.