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Finding the Third Proportional to 72,848.50 and 157,181

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Solution

The third proportional to 72,848.50 and 157,181 is: 339,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,848.50 : 157,181 = 157,181 : x
  2. Step 2: Convert to fraction form
    72,848.50/157,181 = 157,181/x
  3. Step 3: Cross multiply
    72,848.50x = 157,181 × 157,181
  4. Step 4: Simplify right side
    72,848.50x = 24,705,866,761
  5. Step 5: Solve for x
    x = 24,705,866,761/72,848.50
  6. Step 6: Final answer
    x = 339,140.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.