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Finding the Third Proportional to 86,994 and 127,926

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Solution

The third proportional to 86,994 and 127,926 is: 188,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,994 : 127,926 = 127,926 : x
  2. Step 2: Convert to fraction form
    86,994/127,926 = 127,926/x
  3. Step 3: Cross multiply
    86,994x = 127,926 × 127,926
  4. Step 4: Simplify right side
    86,994x = 16,365,061,476
  5. Step 5: Solve for x
    x = 16,365,061,476/86,994
  6. Step 6: Final answer
    x = 188,117.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.