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Finding the Third Proportional to 46,232 and 67,702

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Solution

The third proportional to 46,232 and 67,702 is: 99,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,232 : 67,702 = 67,702 : x
  2. Step 2: Convert to fraction form
    46,232/67,702 = 67,702/x
  3. Step 3: Cross multiply
    46,232x = 67,702 × 67,702
  4. Step 4: Simplify right side
    46,232x = 4,583,560,804
  5. Step 5: Solve for x
    x = 4,583,560,804/46,232
  6. Step 6: Final answer
    x = 99,142.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.