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Finding the Third Proportional to 92,232 and 140,261.63

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Solution

The third proportional to 92,232 and 140,261.63 is: 213,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,232 : 140,261.63 = 140,261.63 : x
  2. Step 2: Convert to fraction form
    92,232/140,261.63 = 140,261.63/x
  3. Step 3: Cross multiply
    92,232x = 140,261.63 × 140,261.63
  4. Step 4: Simplify right side
    92,232x = 19,673,323,447.64
  5. Step 5: Solve for x
    x = 19,673,323,447.64/92,232
  6. Step 6: Final answer
    x = 213,302.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.