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Finding the Third Proportional to 94,090 and 137,679

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Solution

The third proportional to 94,090 and 137,679 is: 201,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,090 : 137,679 = 137,679 : x
  2. Step 2: Convert to fraction form
    94,090/137,679 = 137,679/x
  3. Step 3: Cross multiply
    94,090x = 137,679 × 137,679
  4. Step 4: Simplify right side
    94,090x = 18,955,507,041
  5. Step 5: Solve for x
    x = 18,955,507,041/94,090
  6. Step 6: Final answer
    x = 201,461.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.