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Finding the Third Proportional to 46,411 and 74,729

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Solution

The third proportional to 46,411 and 74,729 is: 120,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,411 : 74,729 = 74,729 : x
  2. Step 2: Convert to fraction form
    46,411/74,729 = 74,729/x
  3. Step 3: Cross multiply
    46,411x = 74,729 × 74,729
  4. Step 4: Simplify right side
    46,411x = 5,584,423,441
  5. Step 5: Solve for x
    x = 5,584,423,441/46,411
  6. Step 6: Final answer
    x = 120,325.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.