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Finding the Third Proportional to 129,316.50 and 201,831.75

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Solution

The third proportional to 129,316.50 and 201,831.75 is: 315,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,316.50 : 201,831.75 = 201,831.75 : x
  2. Step 2: Convert to fraction form
    129,316.50/201,831.75 = 201,831.75/x
  3. Step 3: Cross multiply
    129,316.50x = 201,831.75 × 201,831.75
  4. Step 4: Simplify right side
    129,316.50x = 40,736,055,308.06
  5. Step 5: Solve for x
    x = 40,736,055,308.06/129,316.50
  6. Step 6: Final answer
    x = 315,010.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.