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Finding the Third Proportional to 104,829.75 and 139,664.25

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Solution

The third proportional to 104,829.75 and 139,664.25 is: 186,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,829.75 : 139,664.25 = 139,664.25 : x
  2. Step 2: Convert to fraction form
    104,829.75/139,664.25 = 139,664.25/x
  3. Step 3: Cross multiply
    104,829.75x = 139,664.25 × 139,664.25
  4. Step 4: Simplify right side
    104,829.75x = 19,506,102,728.06
  5. Step 5: Solve for x
    x = 19,506,102,728.06/104,829.75
  6. Step 6: Final answer
    x = 186,074.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.