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Finding the Third Proportional to 46,150 and 72,300

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Solution

The third proportional to 46,150 and 72,300 is: 113,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,150 : 72,300 = 72,300 : x
  2. Step 2: Convert to fraction form
    46,150/72,300 = 72,300/x
  3. Step 3: Cross multiply
    46,150x = 72,300 × 72,300
  4. Step 4: Simplify right side
    46,150x = 5,227,290,000
  5. Step 5: Solve for x
    x = 5,227,290,000/46,150
  6. Step 6: Final answer
    x = 113,267.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.