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Finding the Third Proportional to 84,875 and 186,071

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Solution

The third proportional to 84,875 and 186,071 is: 407,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,875 : 186,071 = 186,071 : x
  2. Step 2: Convert to fraction form
    84,875/186,071 = 186,071/x
  3. Step 3: Cross multiply
    84,875x = 186,071 × 186,071
  4. Step 4: Simplify right side
    84,875x = 34,622,417,041
  5. Step 5: Solve for x
    x = 34,622,417,041/84,875
  6. Step 6: Final answer
    x = 407,922.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.