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Finding the Third Proportional to 72,087.47 and 158,208.19

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Solution

The third proportional to 72,087.47 and 158,208.19 is: 347,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,087.47 : 158,208.19 = 158,208.19 : x
  2. Step 2: Convert to fraction form
    72,087.47/158,208.19 = 158,208.19/x
  3. Step 3: Cross multiply
    72,087.47x = 158,208.19 × 158,208.19
  4. Step 4: Simplify right side
    72,087.47x = 25,029,830,592.04
  5. Step 5: Solve for x
    x = 25,029,830,592.04/72,087.47
  6. Step 6: Final answer
    x = 347,214.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.