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Finding the Third Proportional to 94,599 and 145,449

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Solution

The third proportional to 94,599 and 145,449 is: 223,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,599 : 145,449 = 145,449 : x
  2. Step 2: Convert to fraction form
    94,599/145,449 = 145,449/x
  3. Step 3: Cross multiply
    94,599x = 145,449 × 145,449
  4. Step 4: Simplify right side
    94,599x = 21,155,411,601
  5. Step 5: Solve for x
    x = 21,155,411,601/94,599
  6. Step 6: Final answer
    x = 223,632.51

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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.