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Finding the Third Proportional to 42,093 and 93,527

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Solution

The third proportional to 42,093 and 93,527 is: 207,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,093 : 93,527 = 93,527 : x
  2. Step 2: Convert to fraction form
    42,093/93,527 = 93,527/x
  3. Step 3: Cross multiply
    42,093x = 93,527 × 93,527
  4. Step 4: Simplify right side
    42,093x = 8,747,299,729
  5. Step 5: Solve for x
    x = 8,747,299,729/42,093
  6. Step 6: Final answer
    x = 207,808.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.