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Finding the Third Proportional to 46,614 and 74,133

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Solution

The third proportional to 46,614 and 74,133 is: 117,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,614 : 74,133 = 74,133 : x
  2. Step 2: Convert to fraction form
    46,614/74,133 = 74,133/x
  3. Step 3: Cross multiply
    46,614x = 74,133 × 74,133
  4. Step 4: Simplify right side
    46,614x = 5,495,701,689
  5. Step 5: Solve for x
    x = 5,495,701,689/46,614
  6. Step 6: Final answer
    x = 117,898.09

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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.