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Finding the Third Proportional to 99,144 and 153,900

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Solution

The third proportional to 99,144 and 153,900 is: 238,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,144 : 153,900 = 153,900 : x
  2. Step 2: Convert to fraction form
    99,144/153,900 = 153,900/x
  3. Step 3: Cross multiply
    99,144x = 153,900 × 153,900
  4. Step 4: Simplify right side
    99,144x = 23,685,210,000
  5. Step 5: Solve for x
    x = 23,685,210,000/99,144
  6. Step 6: Final answer
    x = 238,897.06

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