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Finding the Third Proportional to 99,112 and 153,039

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Solution

The third proportional to 99,112 and 153,039 is: 236,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,112 : 153,039 = 153,039 : x
  2. Step 2: Convert to fraction form
    99,112/153,039 = 153,039/x
  3. Step 3: Cross multiply
    99,112x = 153,039 × 153,039
  4. Step 4: Simplify right side
    99,112x = 23,420,935,521
  5. Step 5: Solve for x
    x = 23,420,935,521/99,112
  6. Step 6: Final answer
    x = 236,307.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.