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Finding the Third Proportional to 56,697.50 and 124,145

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Solution

The third proportional to 56,697.50 and 124,145 is: 271,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,697.50 : 124,145 = 124,145 : x
  2. Step 2: Convert to fraction form
    56,697.50/124,145 = 124,145/x
  3. Step 3: Cross multiply
    56,697.50x = 124,145 × 124,145
  4. Step 4: Simplify right side
    56,697.50x = 15,411,981,025
  5. Step 5: Solve for x
    x = 15,411,981,025/56,697.50
  6. Step 6: Final answer
    x = 271,828.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.