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Finding the Third Proportional to 105,716.25 and 163,946.25

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Solution

The third proportional to 105,716.25 and 163,946.25 is: 254,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,716.25 : 163,946.25 = 163,946.25 : x
  2. Step 2: Convert to fraction form
    105,716.25/163,946.25 = 163,946.25/x
  3. Step 3: Cross multiply
    105,716.25x = 163,946.25 × 163,946.25
  4. Step 4: Simplify right side
    105,716.25x = 26,878,372,889.06
  5. Step 5: Solve for x
    x = 26,878,372,889.06/105,716.25
  6. Step 6: Final answer
    x = 254,250.15

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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.