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Finding the Third Proportional to 79,207 and 115,243.50

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Solution

The third proportional to 79,207 and 115,243.50 is: 167,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,207 : 115,243.50 = 115,243.50 : x
  2. Step 2: Convert to fraction form
    79,207/115,243.50 = 115,243.50/x
  3. Step 3: Cross multiply
    79,207x = 115,243.50 × 115,243.50
  4. Step 4: Simplify right side
    79,207x = 13,281,064,292.25
  5. Step 5: Solve for x
    x = 13,281,064,292.25/79,207
  6. Step 6: Final answer
    x = 167,675.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.