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Finding the Third Proportional to 72,312 and 148,147

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Solution

The third proportional to 72,312 and 148,147 is: 303,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,312 : 148,147 = 148,147 : x
  2. Step 2: Convert to fraction form
    72,312/148,147 = 148,147/x
  3. Step 3: Cross multiply
    72,312x = 148,147 × 148,147
  4. Step 4: Simplify right side
    72,312x = 21,947,533,609
  5. Step 5: Solve for x
    x = 21,947,533,609/72,312
  6. Step 6: Final answer
    x = 303,511.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.