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Finding the Third Proportional to 105,826.13 and 163,929.75

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Solution

The third proportional to 105,826.13 and 163,929.75 is: 253,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,826.13 : 163,929.75 = 163,929.75 : x
  2. Step 2: Convert to fraction form
    105,826.13/163,929.75 = 163,929.75/x
  3. Step 3: Cross multiply
    105,826.13x = 163,929.75 × 163,929.75
  4. Step 4: Simplify right side
    105,826.13x = 26,872,962,935.06
  5. Step 5: Solve for x
    x = 26,872,962,935.06/105,826.13
  6. Step 6: Final answer
    x = 253,935.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.