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Finding the Third Proportional to 74,858 and 160,088

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Solution

The third proportional to 74,858 and 160,088 is: 342,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,858 : 160,088 = 160,088 : x
  2. Step 2: Convert to fraction form
    74,858/160,088 = 160,088/x
  3. Step 3: Cross multiply
    74,858x = 160,088 × 160,088
  4. Step 4: Simplify right side
    74,858x = 25,628,167,744
  5. Step 5: Solve for x
    x = 25,628,167,744/74,858
  6. Step 6: Final answer
    x = 342,357.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.