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Finding the Third Proportional to 91,582 and 193,164

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Solution

The third proportional to 91,582 and 193,164 is: 407,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,582 : 193,164 = 193,164 : x
  2. Step 2: Convert to fraction form
    91,582/193,164 = 193,164/x
  3. Step 3: Cross multiply
    91,582x = 193,164 × 193,164
  4. Step 4: Simplify right side
    91,582x = 37,312,330,896
  5. Step 5: Solve for x
    x = 37,312,330,896/91,582
  6. Step 6: Final answer
    x = 407,419.92

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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.