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Finding the Third Proportional to 92,574 and 140,159

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Solution

The third proportional to 92,574 and 140,159 is: 212,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,574 : 140,159 = 140,159 : x
  2. Step 2: Convert to fraction form
    92,574/140,159 = 140,159/x
  3. Step 3: Cross multiply
    92,574x = 140,159 × 140,159
  4. Step 4: Simplify right side
    92,574x = 19,644,545,281
  5. Step 5: Solve for x
    x = 19,644,545,281/92,574
  6. Step 6: Final answer
    x = 212,203.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.