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Finding the Third Proportional to 91,768 and 133,657

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Solution

The third proportional to 91,768 and 133,657 is: 194,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,768 : 133,657 = 133,657 : x
  2. Step 2: Convert to fraction form
    91,768/133,657 = 133,657/x
  3. Step 3: Cross multiply
    91,768x = 133,657 × 133,657
  4. Step 4: Simplify right side
    91,768x = 17,864,193,649
  5. Step 5: Solve for x
    x = 17,864,193,649/91,768
  6. Step 6: Final answer
    x = 194,666.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.