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Finding the Third Proportional to 91,582 and 193,140

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Solution

The third proportional to 91,582 and 193,140 is: 407,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,582 : 193,140 = 193,140 : x
  2. Step 2: Convert to fraction form
    91,582/193,140 = 193,140/x
  3. Step 3: Cross multiply
    91,582x = 193,140 × 193,140
  4. Step 4: Simplify right side
    91,582x = 37,303,059,600
  5. Step 5: Solve for x
    x = 37,303,059,600/91,582
  6. Step 6: Final answer
    x = 407,318.68

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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.