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Finding the Third Proportional to 99,609.75 and 152,442

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Solution

The third proportional to 99,609.75 and 152,442 is: 233,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,609.75 : 152,442 = 152,442 : x
  2. Step 2: Convert to fraction form
    99,609.75/152,442 = 152,442/x
  3. Step 3: Cross multiply
    99,609.75x = 152,442 × 152,442
  4. Step 4: Simplify right side
    99,609.75x = 23,238,563,364
  5. Step 5: Solve for x
    x = 23,238,563,364/99,609.75
  6. Step 6: Final answer
    x = 233,296.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.