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Finding the Third Proportional to 66,595.50 and 93,678

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Solution

The third proportional to 66,595.50 and 93,678 is: 131,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,595.50 : 93,678 = 93,678 : x
  2. Step 2: Convert to fraction form
    66,595.50/93,678 = 93,678/x
  3. Step 3: Cross multiply
    66,595.50x = 93,678 × 93,678
  4. Step 4: Simplify right side
    66,595.50x = 8,775,567,684
  5. Step 5: Solve for x
    x = 8,775,567,684/66,595.50
  6. Step 6: Final answer
    x = 131,774.18

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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.