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Finding the Third Proportional to 66,911.50 and 148,583

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Solution

The third proportional to 66,911.50 and 148,583 is: 329,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,911.50 : 148,583 = 148,583 : x
  2. Step 2: Convert to fraction form
    66,911.50/148,583 = 148,583/x
  3. Step 3: Cross multiply
    66,911.50x = 148,583 × 148,583
  4. Step 4: Simplify right side
    66,911.50x = 22,076,907,889
  5. Step 5: Solve for x
    x = 22,076,907,889/66,911.50
  6. Step 6: Final answer
    x = 329,941.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.