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Finding the Third Proportional to 73,045 and 151,706

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Solution

The third proportional to 73,045 and 151,706 is: 315,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,045 : 151,706 = 151,706 : x
  2. Step 2: Convert to fraction form
    73,045/151,706 = 151,706/x
  3. Step 3: Cross multiply
    73,045x = 151,706 × 151,706
  4. Step 4: Simplify right side
    73,045x = 23,014,710,436
  5. Step 5: Solve for x
    x = 23,014,710,436/73,045
  6. Step 6: Final answer
    x = 315,075.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.