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Finding the Third Proportional to 46,616 and 74,134

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Solution

The third proportional to 46,616 and 74,134 is: 117,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,616 : 74,134 = 74,134 : x
  2. Step 2: Convert to fraction form
    46,616/74,134 = 74,134/x
  3. Step 3: Cross multiply
    46,616x = 74,134 × 74,134
  4. Step 4: Simplify right side
    46,616x = 5,495,849,956
  5. Step 5: Solve for x
    x = 5,495,849,956/46,616
  6. Step 6: Final answer
    x = 117,896.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.