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Finding the Third Proportional to 105,826.50 and 163,928.81

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Solution

The third proportional to 105,826.50 and 163,928.81 is: 253,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,826.50 : 163,928.81 = 163,928.81 : x
  2. Step 2: Convert to fraction form
    105,826.50/163,928.81 = 163,928.81/x
  3. Step 3: Cross multiply
    105,826.50x = 163,928.81 × 163,928.81
  4. Step 4: Simplify right side
    105,826.50x = 26,872,655,567.66
  5. Step 5: Solve for x
    x = 26,872,655,567.66/105,826.50
  6. Step 6: Final answer
    x = 253,931.25

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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.