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Finding the Third Proportional to 123,126.50 and 265,087

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Solution

The third proportional to 123,126.50 and 265,087 is: 570,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,126.50 : 265,087 = 265,087 : x
  2. Step 2: Convert to fraction form
    123,126.50/265,087 = 265,087/x
  3. Step 3: Cross multiply
    123,126.50x = 265,087 × 265,087
  4. Step 4: Simplify right side
    123,126.50x = 70,271,117,569
  5. Step 5: Solve for x
    x = 70,271,117,569/123,126.50
  6. Step 6: Final answer
    x = 570,722.94

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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.