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Finding the Third Proportional to 55,896 and 84,566.25

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Solution

The third proportional to 55,896 and 84,566.25 is: 127,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,896 : 84,566.25 = 84,566.25 : x
  2. Step 2: Convert to fraction form
    55,896/84,566.25 = 84,566.25/x
  3. Step 3: Cross multiply
    55,896x = 84,566.25 × 84,566.25
  4. Step 4: Simplify right side
    55,896x = 7,151,450,639.06
  5. Step 5: Solve for x
    x = 7,151,450,639.06/55,896
  6. Step 6: Final answer
    x = 127,942.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.