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Finding the Third Proportional to 42,370 and 93,252

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Solution

The third proportional to 42,370 and 93,252 is: 205,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,370 : 93,252 = 93,252 : x
  2. Step 2: Convert to fraction form
    42,370/93,252 = 93,252/x
  3. Step 3: Cross multiply
    42,370x = 93,252 × 93,252
  4. Step 4: Simplify right side
    42,370x = 8,695,935,504
  5. Step 5: Solve for x
    x = 8,695,935,504/42,370
  6. Step 6: Final answer
    x = 205,238.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.