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Finding the Third Proportional to 46,160 and 72,318.50

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Solution

The third proportional to 46,160 and 72,318.50 is: 113,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,160 : 72,318.50 = 72,318.50 : x
  2. Step 2: Convert to fraction form
    46,160/72,318.50 = 72,318.50/x
  3. Step 3: Cross multiply
    46,160x = 72,318.50 × 72,318.50
  4. Step 4: Simplify right side
    46,160x = 5,229,965,442.25
  5. Step 5: Solve for x
    x = 5,229,965,442.25/46,160
  6. Step 6: Final answer
    x = 113,300.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.