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Finding the Third Proportional to 99,480 and 154,263

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Solution

The third proportional to 99,480 and 154,263 is: 239,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,480 : 154,263 = 154,263 : x
  2. Step 2: Convert to fraction form
    99,480/154,263 = 154,263/x
  3. Step 3: Cross multiply
    99,480x = 154,263 × 154,263
  4. Step 4: Simplify right side
    99,480x = 23,797,073,169
  5. Step 5: Solve for x
    x = 23,797,073,169/99,480
  6. Step 6: Final answer
    x = 239,214.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.