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Finding the Third Proportional to 92,912 and 200,726

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Solution

The third proportional to 92,912 and 200,726 is: 433,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,912 : 200,726 = 200,726 : x
  2. Step 2: Convert to fraction form
    92,912/200,726 = 200,726/x
  3. Step 3: Cross multiply
    92,912x = 200,726 × 200,726
  4. Step 4: Simplify right side
    92,912x = 40,290,927,076
  5. Step 5: Solve for x
    x = 40,290,927,076/92,912
  6. Step 6: Final answer
    x = 433,646.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.