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Finding the Third Proportional to 46,543 and 73,986

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Solution

The third proportional to 46,543 and 73,986 is: 117,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,543 : 73,986 = 73,986 : x
  2. Step 2: Convert to fraction form
    46,543/73,986 = 73,986/x
  3. Step 3: Cross multiply
    46,543x = 73,986 × 73,986
  4. Step 4: Simplify right side
    46,543x = 5,473,928,196
  5. Step 5: Solve for x
    x = 5,473,928,196/46,543
  6. Step 6: Final answer
    x = 117,610.13

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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.