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Finding the Third Proportional to 106,875 and 165,703.50

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Solution

The third proportional to 106,875 and 165,703.50 is: 256,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,875 : 165,703.50 = 165,703.50 : x
  2. Step 2: Convert to fraction form
    106,875/165,703.50 = 165,703.50/x
  3. Step 3: Cross multiply
    106,875x = 165,703.50 × 165,703.50
  4. Step 4: Simplify right side
    106,875x = 27,457,649,912.25
  5. Step 5: Solve for x
    x = 27,457,649,912.25/106,875
  6. Step 6: Final answer
    x = 256,913.68

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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.