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Finding the Third Proportional to 113,019.68 and 153,490.57

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Solution

The third proportional to 113,019.68 and 153,490.57 is: 208,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,019.68 : 153,490.57 = 153,490.57 : x
  2. Step 2: Convert to fraction form
    113,019.68/153,490.57 = 153,490.57/x
  3. Step 3: Cross multiply
    113,019.68x = 153,490.57 × 153,490.57
  4. Step 4: Simplify right side
    113,019.68x = 23,559,355,174.86
  5. Step 5: Solve for x
    x = 23,559,355,174.86/113,019.68
  6. Step 6: Final answer
    x = 208,453.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.