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Finding the Third Proportional to 91,164 and 191,541

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Solution

The third proportional to 91,164 and 191,541 is: 402,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,164 : 191,541 = 191,541 : x
  2. Step 2: Convert to fraction form
    91,164/191,541 = 191,541/x
  3. Step 3: Cross multiply
    91,164x = 191,541 × 191,541
  4. Step 4: Simplify right side
    91,164x = 36,687,954,681
  5. Step 5: Solve for x
    x = 36,687,954,681/91,164
  6. Step 6: Final answer
    x = 402,439.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.