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Finding the Third Proportional to 74,488.50 and 110,283.50

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Solution

The third proportional to 74,488.50 and 110,283.50 is: 163,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,488.50 : 110,283.50 = 110,283.50 : x
  2. Step 2: Convert to fraction form
    74,488.50/110,283.50 = 110,283.50/x
  3. Step 3: Cross multiply
    74,488.50x = 110,283.50 × 110,283.50
  4. Step 4: Simplify right side
    74,488.50x = 12,162,450,372.25
  5. Step 5: Solve for x
    x = 12,162,450,372.25/74,488.50
  6. Step 6: Final answer
    x = 163,279.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.