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Finding the Third Proportional to 105,468.75 and 163,351.88

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Solution

The third proportional to 105,468.75 and 163,351.88 is: 253,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,468.75 : 163,351.88 = 163,351.88 : x
  2. Step 2: Convert to fraction form
    105,468.75/163,351.88 = 163,351.88/x
  3. Step 3: Cross multiply
    105,468.75x = 163,351.88 × 163,351.88
  4. Step 4: Simplify right side
    105,468.75x = 26,683,835,066.02
  5. Step 5: Solve for x
    x = 26,683,835,066.02/105,468.75
  6. Step 6: Final answer
    x = 253,002.29

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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.