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Finding the Third Proportional to 75,937 and 120,090

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Solution

The third proportional to 75,937 and 120,090 is: 189,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,937 : 120,090 = 120,090 : x
  2. Step 2: Convert to fraction form
    75,937/120,090 = 120,090/x
  3. Step 3: Cross multiply
    75,937x = 120,090 × 120,090
  4. Step 4: Simplify right side
    75,937x = 14,421,608,100
  5. Step 5: Solve for x
    x = 14,421,608,100/75,937
  6. Step 6: Final answer
    x = 189,915.43

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.