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Finding the Third Proportional to 84,855 and 125,813.25

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Solution

The third proportional to 84,855 and 125,813.25 is: 186,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,855 : 125,813.25 = 125,813.25 : x
  2. Step 2: Convert to fraction form
    84,855/125,813.25 = 125,813.25/x
  3. Step 3: Cross multiply
    84,855x = 125,813.25 × 125,813.25
  4. Step 4: Simplify right side
    84,855x = 15,828,973,875.56
  5. Step 5: Solve for x
    x = 15,828,973,875.56/84,855
  6. Step 6: Final answer
    x = 186,541.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.