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Finding the Third Proportional to 123,066 and 264,991.50

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Solution

The third proportional to 123,066 and 264,991.50 is: 570,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,066 : 264,991.50 = 264,991.50 : x
  2. Step 2: Convert to fraction form
    123,066/264,991.50 = 264,991.50/x
  3. Step 3: Cross multiply
    123,066x = 264,991.50 × 264,991.50
  4. Step 4: Simplify right side
    123,066x = 70,220,495,072.25
  5. Step 5: Solve for x
    x = 70,220,495,072.25/123,066
  6. Step 6: Final answer
    x = 570,592.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.