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Finding the Third Proportional to 113,810.63 and 163,936.69

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Solution

The third proportional to 113,810.63 and 163,936.69 is: 236,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,810.63 : 163,936.69 = 163,936.69 : x
  2. Step 2: Convert to fraction form
    113,810.63/163,936.69 = 163,936.69/x
  3. Step 3: Cross multiply
    113,810.63x = 163,936.69 × 163,936.69
  4. Step 4: Simplify right side
    113,810.63x = 26,875,237,508.47
  5. Step 5: Solve for x
    x = 26,875,237,508.47/113,810.63
  6. Step 6: Final answer
    x = 236,139.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.