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Finding the Third Proportional to 43,580 and 94,072

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Solution

The third proportional to 43,580 and 94,072 is: 203,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,580 : 94,072 = 94,072 : x
  2. Step 2: Convert to fraction form
    43,580/94,072 = 94,072/x
  3. Step 3: Cross multiply
    43,580x = 94,072 × 94,072
  4. Step 4: Simplify right side
    43,580x = 8,849,541,184
  5. Step 5: Solve for x
    x = 8,849,541,184/43,580
  6. Step 6: Final answer
    x = 203,064.28

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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.