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Finding the Third Proportional to 46,076 and 69,290

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Solution

The third proportional to 46,076 and 69,290 is: 104,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,076 : 69,290 = 69,290 : x
  2. Step 2: Convert to fraction form
    46,076/69,290 = 69,290/x
  3. Step 3: Cross multiply
    46,076x = 69,290 × 69,290
  4. Step 4: Simplify right side
    46,076x = 4,801,104,100
  5. Step 5: Solve for x
    x = 4,801,104,100/46,076
  6. Step 6: Final answer
    x = 104,199.67

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