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Finding the Third Proportional to 92,319.75 and 144,615.38

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Solution

The third proportional to 92,319.75 and 144,615.38 is: 226,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,319.75 : 144,615.38 = 144,615.38 : x
  2. Step 2: Convert to fraction form
    92,319.75/144,615.38 = 144,615.38/x
  3. Step 3: Cross multiply
    92,319.75x = 144,615.38 × 144,615.38
  4. Step 4: Simplify right side
    92,319.75x = 20,913,606,686.39
  5. Step 5: Solve for x
    x = 20,913,606,686.39/92,319.75
  6. Step 6: Final answer
    x = 226,534.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.