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Finding the Third Proportional to 72,066 and 115,792.50

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Solution

The third proportional to 72,066 and 115,792.50 is: 186,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,066 : 115,792.50 = 115,792.50 : x
  2. Step 2: Convert to fraction form
    72,066/115,792.50 = 115,792.50/x
  3. Step 3: Cross multiply
    72,066x = 115,792.50 × 115,792.50
  4. Step 4: Simplify right side
    72,066x = 13,407,903,056.25
  5. Step 5: Solve for x
    x = 13,407,903,056.25/72,066
  6. Step 6: Final answer
    x = 186,050.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.