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Finding the Third Proportional to 73,032.50 and 115,545

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Solution

The third proportional to 73,032.50 and 115,545 is: 182,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,032.50 : 115,545 = 115,545 : x
  2. Step 2: Convert to fraction form
    73,032.50/115,545 = 115,545/x
  3. Step 3: Cross multiply
    73,032.50x = 115,545 × 115,545
  4. Step 4: Simplify right side
    73,032.50x = 13,350,647,025
  5. Step 5: Solve for x
    x = 13,350,647,025/73,032.50
  6. Step 6: Final answer
    x = 182,804.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.