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Finding the Third Proportional to 79,430 and 123,501

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Solution

The third proportional to 79,430 and 123,501 is: 192,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,430 : 123,501 = 123,501 : x
  2. Step 2: Convert to fraction form
    79,430/123,501 = 123,501/x
  3. Step 3: Cross multiply
    79,430x = 123,501 × 123,501
  4. Step 4: Simplify right side
    79,430x = 15,252,497,001
  5. Step 5: Solve for x
    x = 15,252,497,001/79,430
  6. Step 6: Final answer
    x = 192,024.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.