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Finding the Third Proportional to 68,220 and 105,786

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Solution

The third proportional to 68,220 and 105,786 is: 164,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,220 : 105,786 = 105,786 : x
  2. Step 2: Convert to fraction form
    68,220/105,786 = 105,786/x
  3. Step 3: Cross multiply
    68,220x = 105,786 × 105,786
  4. Step 4: Simplify right side
    68,220x = 11,190,677,796
  5. Step 5: Solve for x
    x = 11,190,677,796/68,220
  6. Step 6: Final answer
    x = 164,038.08

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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.