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Finding the Third Proportional to 46,306 and 69,153

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Solution

The third proportional to 46,306 and 69,153 is: 103,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,306 : 69,153 = 69,153 : x
  2. Step 2: Convert to fraction form
    46,306/69,153 = 69,153/x
  3. Step 3: Cross multiply
    46,306x = 69,153 × 69,153
  4. Step 4: Simplify right side
    46,306x = 4,782,137,409
  5. Step 5: Solve for x
    x = 4,782,137,409/46,306
  6. Step 6: Final answer
    x = 103,272.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.