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Finding the Third Proportional to 91,824 and 141,888

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Solution

The third proportional to 91,824 and 141,888 is: 219,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,824 : 141,888 = 141,888 : x
  2. Step 2: Convert to fraction form
    91,824/141,888 = 141,888/x
  3. Step 3: Cross multiply
    91,824x = 141,888 × 141,888
  4. Step 4: Simplify right side
    91,824x = 20,132,204,544
  5. Step 5: Solve for x
    x = 20,132,204,544/91,824
  6. Step 6: Final answer
    x = 219,247.74

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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.