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Finding the Third Proportional to 74,946.75 and 162,124.50

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Solution

The third proportional to 74,946.75 and 162,124.50 is: 350,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,946.75 : 162,124.50 = 162,124.50 : x
  2. Step 2: Convert to fraction form
    74,946.75/162,124.50 = 162,124.50/x
  3. Step 3: Cross multiply
    74,946.75x = 162,124.50 × 162,124.50
  4. Step 4: Simplify right side
    74,946.75x = 26,284,353,500.25
  5. Step 5: Solve for x
    x = 26,284,353,500.25/74,946.75
  6. Step 6: Final answer
    x = 350,707.05

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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.