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Finding the Third Proportional to 72,012 and 151,332

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Solution

The third proportional to 72,012 and 151,332 is: 318,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,012 : 151,332 = 151,332 : x
  2. Step 2: Convert to fraction form
    72,012/151,332 = 151,332/x
  3. Step 3: Cross multiply
    72,012x = 151,332 × 151,332
  4. Step 4: Simplify right side
    72,012x = 22,901,374,224
  5. Step 5: Solve for x
    x = 22,901,374,224/72,012
  6. Step 6: Final answer
    x = 318,021.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.