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Finding the Third Proportional to 115,083 and 175,027.50

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Solution

The third proportional to 115,083 and 175,027.50 is: 266,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,083 : 175,027.50 = 175,027.50 : x
  2. Step 2: Convert to fraction form
    115,083/175,027.50 = 175,027.50/x
  3. Step 3: Cross multiply
    115,083x = 175,027.50 × 175,027.50
  4. Step 4: Simplify right side
    115,083x = 30,634,625,756.25
  5. Step 5: Solve for x
    x = 30,634,625,756.25/115,083
  6. Step 6: Final answer
    x = 266,195.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.