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Finding the Third Proportional to 73,580.63 and 153,822.38

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Solution

The third proportional to 73,580.63 and 153,822.38 is: 321,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,580.63 : 153,822.38 = 153,822.38 : x
  2. Step 2: Convert to fraction form
    73,580.63/153,822.38 = 153,822.38/x
  3. Step 3: Cross multiply
    73,580.63x = 153,822.38 × 153,822.38
  4. Step 4: Simplify right side
    73,580.63x = 23,661,323,050.64
  5. Step 5: Solve for x
    x = 23,661,323,050.64/73,580.63
  6. Step 6: Final answer
    x = 321,570.02

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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.