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Finding the Third Proportional to 45,730 and 92,732

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Solution

The third proportional to 45,730 and 92,732 is: 188,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730 : 92,732 = 92,732 : x
  2. Step 2: Convert to fraction form
    45,730/92,732 = 92,732/x
  3. Step 3: Cross multiply
    45,730x = 92,732 × 92,732
  4. Step 4: Simplify right side
    45,730x = 8,599,223,824
  5. Step 5: Solve for x
    x = 8,599,223,824/45,730
  6. Step 6: Final answer
    x = 188,043.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.