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Finding the Third Proportional to 45,946 and 73,718

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Solution

The third proportional to 45,946 and 73,718 is: 118,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,946 : 73,718 = 73,718 : x
  2. Step 2: Convert to fraction form
    45,946/73,718 = 73,718/x
  3. Step 3: Cross multiply
    45,946x = 73,718 × 73,718
  4. Step 4: Simplify right side
    45,946x = 5,434,343,524
  5. Step 5: Solve for x
    x = 5,434,343,524/45,946
  6. Step 6: Final answer
    x = 118,276.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.