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Finding the Third Proportional to 46,922.63 and 69,139.69

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Solution

The third proportional to 46,922.63 and 69,139.69 is: 101,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,922.63 : 69,139.69 = 69,139.69 : x
  2. Step 2: Convert to fraction form
    46,922.63/69,139.69 = 69,139.69/x
  3. Step 3: Cross multiply
    46,922.63x = 69,139.69 × 69,139.69
  4. Step 4: Simplify right side
    46,922.63x = 4,780,296,387.60
  5. Step 5: Solve for x
    x = 4,780,296,387.60/46,922.63
  6. Step 6: Final answer
    x = 101,876.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.