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Finding the Third Proportional to 73,053.75 and 116,705.75

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Solution

The third proportional to 73,053.75 and 116,705.75 is: 186,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,053.75 : 116,705.75 = 116,705.75 : x
  2. Step 2: Convert to fraction form
    73,053.75/116,705.75 = 116,705.75/x
  3. Step 3: Cross multiply
    73,053.75x = 116,705.75 × 116,705.75
  4. Step 4: Simplify right side
    73,053.75x = 13,620,232,083.06
  5. Step 5: Solve for x
    x = 13,620,232,083.06/73,053.75
  6. Step 6: Final answer
    x = 186,441.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.