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Finding the Third Proportional to 116,115 and 179,457.75

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Solution

The third proportional to 116,115 and 179,457.75 is: 277,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,115 : 179,457.75 = 179,457.75 : x
  2. Step 2: Convert to fraction form
    116,115/179,457.75 = 179,457.75/x
  3. Step 3: Cross multiply
    116,115x = 179,457.75 × 179,457.75
  4. Step 4: Simplify right side
    116,115x = 32,205,084,035.06
  5. Step 5: Solve for x
    x = 32,205,084,035.06/116,115
  6. Step 6: Final answer
    x = 277,355.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.