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Finding the Third Proportional to 85,762.50 and 130,277.25

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Solution

The third proportional to 85,762.50 and 130,277.25 is: 197,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,762.50 : 130,277.25 = 130,277.25 : x
  2. Step 2: Convert to fraction form
    85,762.50/130,277.25 = 130,277.25/x
  3. Step 3: Cross multiply
    85,762.50x = 130,277.25 × 130,277.25
  4. Step 4: Simplify right side
    85,762.50x = 16,972,161,867.56
  5. Step 5: Solve for x
    x = 16,972,161,867.56/85,762.50
  6. Step 6: Final answer
    x = 197,897.24

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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.