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Finding the Third Proportional to 60,866 and 130,786

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Solution

The third proportional to 60,866 and 130,786 is: 281,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,866 : 130,786 = 130,786 : x
  2. Step 2: Convert to fraction form
    60,866/130,786 = 130,786/x
  3. Step 3: Cross multiply
    60,866x = 130,786 × 130,786
  4. Step 4: Simplify right side
    60,866x = 17,104,977,796
  5. Step 5: Solve for x
    x = 17,104,977,796/60,866
  6. Step 6: Final answer
    x = 281,026.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.