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Finding the Third Proportional to 46,113 and 69,494

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Solution

The third proportional to 46,113 and 69,494 is: 104,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,113 : 69,494 = 69,494 : x
  2. Step 2: Convert to fraction form
    46,113/69,494 = 69,494/x
  3. Step 3: Cross multiply
    46,113x = 69,494 × 69,494
  4. Step 4: Simplify right side
    46,113x = 4,829,416,036
  5. Step 5: Solve for x
    x = 4,829,416,036/46,113
  6. Step 6: Final answer
    x = 104,730.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.