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Finding the Third Proportional to 58,452 and 94,133.25

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Solution

The third proportional to 58,452 and 94,133.25 is: 151,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,452 : 94,133.25 = 94,133.25 : x
  2. Step 2: Convert to fraction form
    58,452/94,133.25 = 94,133.25/x
  3. Step 3: Cross multiply
    58,452x = 94,133.25 × 94,133.25
  4. Step 4: Simplify right side
    58,452x = 8,861,068,755.56
  5. Step 5: Solve for x
    x = 8,861,068,755.56/58,452
  6. Step 6: Final answer
    x = 151,595.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.