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Finding the Third Proportional to 94,389.75 and 145,825.88

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Solution

The third proportional to 94,389.75 and 145,825.88 is: 225,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,389.75 : 145,825.88 = 145,825.88 : x
  2. Step 2: Convert to fraction form
    94,389.75/145,825.88 = 145,825.88/x
  3. Step 3: Cross multiply
    94,389.75x = 145,825.88 × 145,825.88
  4. Step 4: Simplify right side
    94,389.75x = 21,265,185,819.52
  5. Step 5: Solve for x
    x = 21,265,185,819.52/94,389.75
  6. Step 6: Final answer
    x = 225,291.26

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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.