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Finding the Third Proportional to 117,206.72 and 175,037.63

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Solution

The third proportional to 117,206.72 and 175,037.63 is: 261,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,206.72 : 175,037.63 = 175,037.63 : x
  2. Step 2: Convert to fraction form
    117,206.72/175,037.63 = 175,037.63/x
  3. Step 3: Cross multiply
    117,206.72x = 175,037.63 × 175,037.63
  4. Step 4: Simplify right side
    117,206.72x = 30,638,170,165.64
  5. Step 5: Solve for x
    x = 30,638,170,165.64/117,206.72
  6. Step 6: Final answer
    x = 261,402.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.