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Finding the Third Proportional to 119,043 and 161,674.50

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Solution

The third proportional to 119,043 and 161,674.50 is: 219,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,043 : 161,674.50 = 161,674.50 : x
  2. Step 2: Convert to fraction form
    119,043/161,674.50 = 161,674.50/x
  3. Step 3: Cross multiply
    119,043x = 161,674.50 × 161,674.50
  4. Step 4: Simplify right side
    119,043x = 26,138,643,950.25
  5. Step 5: Solve for x
    x = 26,138,643,950.25/119,043
  6. Step 6: Final answer
    x = 219,573.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.