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Finding the Third Proportional to 97,058 and 148,659

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Solution

The third proportional to 97,058 and 148,659 is: 227,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,058 : 148,659 = 148,659 : x
  2. Step 2: Convert to fraction form
    97,058/148,659 = 148,659/x
  3. Step 3: Cross multiply
    97,058x = 148,659 × 148,659
  4. Step 4: Simplify right side
    97,058x = 22,099,498,281
  5. Step 5: Solve for x
    x = 22,099,498,281/97,058
  6. Step 6: Final answer
    x = 227,693.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.