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Finding the Third Proportional to 42,658 and 93,080

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Solution

The third proportional to 42,658 and 93,080 is: 203,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658 : 93,080 = 93,080 : x
  2. Step 2: Convert to fraction form
    42,658/93,080 = 93,080/x
  3. Step 3: Cross multiply
    42,658x = 93,080 × 93,080
  4. Step 4: Simplify right side
    42,658x = 8,663,886,400
  5. Step 5: Solve for x
    x = 8,663,886,400/42,658
  6. Step 6: Final answer
    x = 203,101.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.