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Finding the Third Proportional to 42,029 and 91,058

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Solution

The third proportional to 42,029 and 91,058 is: 197,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,029 : 91,058 = 91,058 : x
  2. Step 2: Convert to fraction form
    42,029/91,058 = 91,058/x
  3. Step 3: Cross multiply
    42,029x = 91,058 × 91,058
  4. Step 4: Simplify right side
    42,029x = 8,291,559,364
  5. Step 5: Solve for x
    x = 8,291,559,364/42,029
  6. Step 6: Final answer
    x = 197,281.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.