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Finding the Third Proportional to 91,580 and 193,000

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Solution

The third proportional to 91,580 and 193,000 is: 406,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,580 : 193,000 = 193,000 : x
  2. Step 2: Convert to fraction form
    91,580/193,000 = 193,000/x
  3. Step 3: Cross multiply
    91,580x = 193,000 × 193,000
  4. Step 4: Simplify right side
    91,580x = 37,249,000,000
  5. Step 5: Solve for x
    x = 37,249,000,000/91,580
  6. Step 6: Final answer
    x = 406,737.28

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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.