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Finding the Third Proportional to 81,602.44 and 147,827.53

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Solution

The third proportional to 81,602.44 and 147,827.53 is: 267,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.44 : 147,827.53 = 147,827.53 : x
  2. Step 2: Convert to fraction form
    81,602.44/147,827.53 = 147,827.53/x
  3. Step 3: Cross multiply
    81,602.44x = 147,827.53 × 147,827.53
  4. Step 4: Simplify right side
    81,602.44x = 21,852,978,995.47
  5. Step 5: Solve for x
    x = 21,852,978,995.47/81,602.44
  6. Step 6: Final answer
    x = 267,798.12

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.