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Finding the Third Proportional to 132,036 and 285,116.25

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Solution

The third proportional to 132,036 and 285,116.25 is: 615,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,036 : 285,116.25 = 285,116.25 : x
  2. Step 2: Convert to fraction form
    132,036/285,116.25 = 285,116.25/x
  3. Step 3: Cross multiply
    132,036x = 285,116.25 × 285,116.25
  4. Step 4: Simplify right side
    132,036x = 81,291,276,014.06
  5. Step 5: Solve for x
    x = 81,291,276,014.06/132,036
  6. Step 6: Final answer
    x = 615,675.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.