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Finding the Third Proportional to 115,831.13 and 184,987.69

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Solution

The third proportional to 115,831.13 and 184,987.69 is: 295,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,831.13 : 184,987.69 = 184,987.69 : x
  2. Step 2: Convert to fraction form
    115,831.13/184,987.69 = 184,987.69/x
  3. Step 3: Cross multiply
    115,831.13x = 184,987.69 × 184,987.69
  4. Step 4: Simplify right side
    115,831.13x = 34,220,444,526.60
  5. Step 5: Solve for x
    x = 34,220,444,526.60/115,831.13
  6. Step 6: Final answer
    x = 295,433.93

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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.