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Finding the Third Proportional to 42,460 and 89,980

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Solution

The third proportional to 42,460 and 89,980 is: 190,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,460 : 89,980 = 89,980 : x
  2. Step 2: Convert to fraction form
    42,460/89,980 = 89,980/x
  3. Step 3: Cross multiply
    42,460x = 89,980 × 89,980
  4. Step 4: Simplify right side
    42,460x = 8,096,400,400
  5. Step 5: Solve for x
    x = 8,096,400,400/42,460
  6. Step 6: Final answer
    x = 190,683.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.