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Finding the Third Proportional to 42,470 and 59,401

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Solution

The third proportional to 42,470 and 59,401 is: 83,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,470 : 59,401 = 59,401 : x
  2. Step 2: Convert to fraction form
    42,470/59,401 = 59,401/x
  3. Step 3: Cross multiply
    42,470x = 59,401 × 59,401
  4. Step 4: Simplify right side
    42,470x = 3,528,478,801
  5. Step 5: Solve for x
    x = 3,528,478,801/42,470
  6. Step 6: Final answer
    x = 83,081.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.