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Finding the Third Proportional to 53,148 and 72,211.50

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Solution

The third proportional to 53,148 and 72,211.50 is: 98,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,148 : 72,211.50 = 72,211.50 : x
  2. Step 2: Convert to fraction form
    53,148/72,211.50 = 72,211.50/x
  3. Step 3: Cross multiply
    53,148x = 72,211.50 × 72,211.50
  4. Step 4: Simplify right side
    53,148x = 5,214,500,732.25
  5. Step 5: Solve for x
    x = 5,214,500,732.25/53,148
  6. Step 6: Final answer
    x = 98,112.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.