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Finding the Third Proportional to 43,148 and 92,294

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Solution

The third proportional to 43,148 and 92,294 is: 197,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,148 : 92,294 = 92,294 : x
  2. Step 2: Convert to fraction form
    43,148/92,294 = 92,294/x
  3. Step 3: Cross multiply
    43,148x = 92,294 × 92,294
  4. Step 4: Simplify right side
    43,148x = 8,518,182,436
  5. Step 5: Solve for x
    x = 8,518,182,436/43,148
  6. Step 6: Final answer
    x = 197,417.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.