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Finding the Third Proportional to 91,587 and 193,014

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Solution

The third proportional to 91,587 and 193,014 is: 406,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,587 : 193,014 = 193,014 : x
  2. Step 2: Convert to fraction form
    91,587/193,014 = 193,014/x
  3. Step 3: Cross multiply
    91,587x = 193,014 × 193,014
  4. Step 4: Simplify right side
    91,587x = 37,254,404,196
  5. Step 5: Solve for x
    x = 37,254,404,196/91,587
  6. Step 6: Final answer
    x = 406,765.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.