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Finding the Third Proportional to 126,985 and 186,035

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Solution

The third proportional to 126,985 and 186,035 is: 272,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,985 : 186,035 = 186,035 : x
  2. Step 2: Convert to fraction form
    126,985/186,035 = 186,035/x
  3. Step 3: Cross multiply
    126,985x = 186,035 × 186,035
  4. Step 4: Simplify right side
    126,985x = 34,609,021,225
  5. Step 5: Solve for x
    x = 34,609,021,225/126,985
  6. Step 6: Final answer
    x = 272,544.17

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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.