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Finding the Third Proportional to 45,973 and 70,280

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Solution

The third proportional to 45,973 and 70,280 is: 107,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,973 : 70,280 = 70,280 : x
  2. Step 2: Convert to fraction form
    45,973/70,280 = 70,280/x
  3. Step 3: Cross multiply
    45,973x = 70,280 × 70,280
  4. Step 4: Simplify right side
    45,973x = 4,939,278,400
  5. Step 5: Solve for x
    x = 4,939,278,400/45,973
  6. Step 6: Final answer
    x = 107,438.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.