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Finding the Third Proportional to 109,139 and 154,050

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Solution

The third proportional to 109,139 and 154,050 is: 217,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,139 : 154,050 = 154,050 : x
  2. Step 2: Convert to fraction form
    109,139/154,050 = 154,050/x
  3. Step 3: Cross multiply
    109,139x = 154,050 × 154,050
  4. Step 4: Simplify right side
    109,139x = 23,731,402,500
  5. Step 5: Solve for x
    x = 23,731,402,500/109,139
  6. Step 6: Final answer
    x = 217,442.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.