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Finding the Third Proportional to 92,252.25 and 142,256.25

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Solution

The third proportional to 92,252.25 and 142,256.25 is: 219,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,252.25 : 142,256.25 = 142,256.25 : x
  2. Step 2: Convert to fraction form
    92,252.25/142,256.25 = 142,256.25/x
  3. Step 3: Cross multiply
    92,252.25x = 142,256.25 × 142,256.25
  4. Step 4: Simplify right side
    92,252.25x = 20,236,840,664.06
  5. Step 5: Solve for x
    x = 20,236,840,664.06/92,252.25
  6. Step 6: Final answer
    x = 219,364.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.