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Finding the Third Proportional to 65,116.41 and 140,886.84

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Solution

The third proportional to 65,116.41 and 140,886.84 is: 304,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.41 : 140,886.84 = 140,886.84 : x
  2. Step 2: Convert to fraction form
    65,116.41/140,886.84 = 140,886.84/x
  3. Step 3: Cross multiply
    65,116.41x = 140,886.84 × 140,886.84
  4. Step 4: Simplify right side
    65,116.41x = 19,849,102,741.84
  5. Step 5: Solve for x
    x = 19,849,102,741.84/65,116.41
  6. Step 6: Final answer
    x = 304,824.91

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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.