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Finding the Third Proportional to 63,179 and 105,281

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Solution

The third proportional to 63,179 and 105,281 is: 175,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,179 : 105,281 = 105,281 : x
  2. Step 2: Convert to fraction form
    63,179/105,281 = 105,281/x
  3. Step 3: Cross multiply
    63,179x = 105,281 × 105,281
  4. Step 4: Simplify right side
    63,179x = 11,084,088,961
  5. Step 5: Solve for x
    x = 11,084,088,961/63,179
  6. Step 6: Final answer
    x = 175,439.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.