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Finding the Third Proportional to 55,924.17 and 115,128.84

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Solution

The third proportional to 55,924.17 and 115,128.84 is: 237,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924.17 : 115,128.84 = 115,128.84 : x
  2. Step 2: Convert to fraction form
    55,924.17/115,128.84 = 115,128.84/x
  3. Step 3: Cross multiply
    55,924.17x = 115,128.84 × 115,128.84
  4. Step 4: Simplify right side
    55,924.17x = 13,254,650,663.21
  5. Step 5: Solve for x
    x = 13,254,650,663.21/55,924.17
  6. Step 6: Final answer
    x = 237,011.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.