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Finding the Third Proportional to 84,597.50 and 119,026.50

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Solution

The third proportional to 84,597.50 and 119,026.50 is: 167,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,597.50 : 119,026.50 = 119,026.50 : x
  2. Step 2: Convert to fraction form
    84,597.50/119,026.50 = 119,026.50/x
  3. Step 3: Cross multiply
    84,597.50x = 119,026.50 × 119,026.50
  4. Step 4: Simplify right side
    84,597.50x = 14,167,307,702.25
  5. Step 5: Solve for x
    x = 14,167,307,702.25/84,597.50
  6. Step 6: Final answer
    x = 167,467.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.