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Finding the Third Proportional to 45,926 and 97,364

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Solution

The third proportional to 45,926 and 97,364 is: 206,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,926 : 97,364 = 97,364 : x
  2. Step 2: Convert to fraction form
    45,926/97,364 = 97,364/x
  3. Step 3: Cross multiply
    45,926x = 97,364 × 97,364
  4. Step 4: Simplify right side
    45,926x = 9,479,748,496
  5. Step 5: Solve for x
    x = 9,479,748,496/45,926
  6. Step 6: Final answer
    x = 206,413.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.