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Finding the Third Proportional to 58,890 and 90,984

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Solution

The third proportional to 58,890 and 90,984 is: 140,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,890 : 90,984 = 90,984 : x
  2. Step 2: Convert to fraction form
    58,890/90,984 = 90,984/x
  3. Step 3: Cross multiply
    58,890x = 90,984 × 90,984
  4. Step 4: Simplify right side
    58,890x = 8,278,088,256
  5. Step 5: Solve for x
    x = 8,278,088,256/58,890
  6. Step 6: Final answer
    x = 140,568.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.