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Finding the Third Proportional to 119,205 and 167,089.50

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Solution

The third proportional to 119,205 and 167,089.50 is: 234,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,205 : 167,089.50 = 167,089.50 : x
  2. Step 2: Convert to fraction form
    119,205/167,089.50 = 167,089.50/x
  3. Step 3: Cross multiply
    119,205x = 167,089.50 × 167,089.50
  4. Step 4: Simplify right side
    119,205x = 27,918,901,010.25
  5. Step 5: Solve for x
    x = 27,918,901,010.25/119,205
  6. Step 6: Final answer
    x = 234,209.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.