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Finding the Third Proportional to 46,303 and 69,149.50

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Solution

The third proportional to 46,303 and 69,149.50 is: 103,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,303 : 69,149.50 = 69,149.50 : x
  2. Step 2: Convert to fraction form
    46,303/69,149.50 = 69,149.50/x
  3. Step 3: Cross multiply
    46,303x = 69,149.50 × 69,149.50
  4. Step 4: Simplify right side
    46,303x = 4,781,653,350.25
  5. Step 5: Solve for x
    x = 4,781,653,350.25/46,303
  6. Step 6: Final answer
    x = 103,268.76

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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.