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Finding the Third Proportional to 123,097.50 and 265,027.50

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Solution

The third proportional to 123,097.50 and 265,027.50 is: 570,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,097.50 : 265,027.50 = 265,027.50 : x
  2. Step 2: Convert to fraction form
    123,097.50/265,027.50 = 265,027.50/x
  3. Step 3: Cross multiply
    123,097.50x = 265,027.50 × 265,027.50
  4. Step 4: Simplify right side
    123,097.50x = 70,239,575,756.25
  5. Step 5: Solve for x
    x = 70,239,575,756.25/123,097.50
  6. Step 6: Final answer
    x = 570,601.16

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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.