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Finding the Third Proportional to 117,741.75 and 176,346

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Solution

The third proportional to 117,741.75 and 176,346 is: 264,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,741.75 : 176,346 = 176,346 : x
  2. Step 2: Convert to fraction form
    117,741.75/176,346 = 176,346/x
  3. Step 3: Cross multiply
    117,741.75x = 176,346 × 176,346
  4. Step 4: Simplify right side
    117,741.75x = 31,097,911,716
  5. Step 5: Solve for x
    x = 31,097,911,716/117,741.75
  6. Step 6: Final answer
    x = 264,119.67

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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.