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Finding the Third Proportional to 72,716.63 and 151,660.13

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Solution

The third proportional to 72,716.63 and 151,660.13 is: 316,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,716.63 : 151,660.13 = 151,660.13 : x
  2. Step 2: Convert to fraction form
    72,716.63/151,660.13 = 151,660.13/x
  3. Step 3: Cross multiply
    72,716.63x = 151,660.13 × 151,660.13
  4. Step 4: Simplify right side
    72,716.63x = 23,000,793,515.02
  5. Step 5: Solve for x
    x = 23,000,793,515.02/72,716.63
  6. Step 6: Final answer
    x = 316,307.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.