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Finding the Third Proportional to 46,280 and 69,222

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Solution

The third proportional to 46,280 and 69,222 is: 103,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,280 : 69,222 = 69,222 : x
  2. Step 2: Convert to fraction form
    46,280/69,222 = 69,222/x
  3. Step 3: Cross multiply
    46,280x = 69,222 × 69,222
  4. Step 4: Simplify right side
    46,280x = 4,791,685,284
  5. Step 5: Solve for x
    x = 4,791,685,284/46,280
  6. Step 6: Final answer
    x = 103,536.85

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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.