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Finding the Third Proportional to 74,293.50 and 162,127.50

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Solution

The third proportional to 74,293.50 and 162,127.50 is: 353,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,293.50 : 162,127.50 = 162,127.50 : x
  2. Step 2: Convert to fraction form
    74,293.50/162,127.50 = 162,127.50/x
  3. Step 3: Cross multiply
    74,293.50x = 162,127.50 × 162,127.50
  4. Step 4: Simplify right side
    74,293.50x = 26,285,326,256.25
  5. Step 5: Solve for x
    x = 26,285,326,256.25/74,293.50
  6. Step 6: Final answer
    x = 353,803.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.