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Finding the Third Proportional to 74,860 and 160,090

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Solution

The third proportional to 74,860 and 160,090 is: 342,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,860 : 160,090 = 160,090 : x
  2. Step 2: Convert to fraction form
    74,860/160,090 = 160,090/x
  3. Step 3: Cross multiply
    74,860x = 160,090 × 160,090
  4. Step 4: Simplify right side
    74,860x = 25,628,808,100
  5. Step 5: Solve for x
    x = 25,628,808,100/74,860
  6. Step 6: Final answer
    x = 342,356.51

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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.