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Finding the Third Proportional to 75,392 and 113,097

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Solution

The third proportional to 75,392 and 113,097 is: 169,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,392 : 113,097 = 113,097 : x
  2. Step 2: Convert to fraction form
    75,392/113,097 = 113,097/x
  3. Step 3: Cross multiply
    75,392x = 113,097 × 113,097
  4. Step 4: Simplify right side
    75,392x = 12,790,931,409
  5. Step 5: Solve for x
    x = 12,790,931,409/75,392
  6. Step 6: Final answer
    x = 169,659.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.