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Finding the Third Proportional to 72,837 and 150,730.50

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Solution

The third proportional to 72,837 and 150,730.50 is: 311,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,837 : 150,730.50 = 150,730.50 : x
  2. Step 2: Convert to fraction form
    72,837/150,730.50 = 150,730.50/x
  3. Step 3: Cross multiply
    72,837x = 150,730.50 × 150,730.50
  4. Step 4: Simplify right side
    72,837x = 22,719,683,630.25
  5. Step 5: Solve for x
    x = 22,719,683,630.25/72,837
  6. Step 6: Final answer
    x = 311,925.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.