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Finding the Third Proportional to 99,506 and 154,011

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Solution

The third proportional to 99,506 and 154,011 is: 238,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506 : 154,011 = 154,011 : x
  2. Step 2: Convert to fraction form
    99,506/154,011 = 154,011/x
  3. Step 3: Cross multiply
    99,506x = 154,011 × 154,011
  4. Step 4: Simplify right side
    99,506x = 23,719,388,121
  5. Step 5: Solve for x
    x = 23,719,388,121/99,506
  6. Step 6: Final answer
    x = 238,371.44

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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.