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Finding the Third Proportional to 102,058 and 153,478

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Solution

The third proportional to 102,058 and 153,478 is: 230,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,058 : 153,478 = 153,478 : x
  2. Step 2: Convert to fraction form
    102,058/153,478 = 153,478/x
  3. Step 3: Cross multiply
    102,058x = 153,478 × 153,478
  4. Step 4: Simplify right side
    102,058x = 23,555,496,484
  5. Step 5: Solve for x
    x = 23,555,496,484/102,058
  6. Step 6: Final answer
    x = 230,805.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.