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Finding the Third Proportional to 45,637 and 98,064

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Solution

The third proportional to 45,637 and 98,064 is: 210,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,637 : 98,064 = 98,064 : x
  2. Step 2: Convert to fraction form
    45,637/98,064 = 98,064/x
  3. Step 3: Cross multiply
    45,637x = 98,064 × 98,064
  4. Step 4: Simplify right side
    45,637x = 9,616,548,096
  5. Step 5: Solve for x
    x = 9,616,548,096/45,637
  6. Step 6: Final answer
    x = 210,718.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.