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Finding the Third Proportional to 112,159.69 and 241,929.28

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Solution

The third proportional to 112,159.69 and 241,929.28 is: 521,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,159.69 : 241,929.28 = 241,929.28 : x
  2. Step 2: Convert to fraction form
    112,159.69/241,929.28 = 241,929.28/x
  3. Step 3: Cross multiply
    112,159.69x = 241,929.28 × 241,929.28
  4. Step 4: Simplify right side
    112,159.69x = 58,529,777,126.14
  5. Step 5: Solve for x
    x = 58,529,777,126.14/112,159.69
  6. Step 6: Final answer
    x = 521,843.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.