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Finding the Third Proportional to 116,551.13 and 164,512.13

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Solution

The third proportional to 116,551.13 and 164,512.13 is: 232,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,551.13 : 164,512.13 = 164,512.13 : x
  2. Step 2: Convert to fraction form
    116,551.13/164,512.13 = 164,512.13/x
  3. Step 3: Cross multiply
    116,551.13x = 164,512.13 × 164,512.13
  4. Step 4: Simplify right side
    116,551.13x = 27,064,239,272.02
  5. Step 5: Solve for x
    x = 27,064,239,272.02/116,551.13
  6. Step 6: Final answer
    x = 232,209.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.