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Finding the Third Proportional to 101,430 and 152,163

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Solution

The third proportional to 101,430 and 152,163 is: 228,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430 : 152,163 = 152,163 : x
  2. Step 2: Convert to fraction form
    101,430/152,163 = 152,163/x
  3. Step 3: Cross multiply
    101,430x = 152,163 × 152,163
  4. Step 4: Simplify right side
    101,430x = 23,153,578,569
  5. Step 5: Solve for x
    x = 23,153,578,569/101,430
  6. Step 6: Final answer
    x = 228,271.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.