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Finding the Third Proportional to 92,824.31 and 144,784.13

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Solution

The third proportional to 92,824.31 and 144,784.13 is: 225,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,824.31 : 144,784.13 = 144,784.13 : x
  2. Step 2: Convert to fraction form
    92,824.31/144,784.13 = 144,784.13/x
  3. Step 3: Cross multiply
    92,824.31x = 144,784.13 × 144,784.13
  4. Step 4: Simplify right side
    92,824.31x = 20,962,442,852.02
  5. Step 5: Solve for x
    x = 20,962,442,852.02/92,824.31
  6. Step 6: Final answer
    x = 225,829.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.