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Finding the Third Proportional to 94,041.84 and 145,778.48

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Solution

The third proportional to 94,041.84 and 145,778.48 is: 225,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,041.84 : 145,778.48 = 145,778.48 : x
  2. Step 2: Convert to fraction form
    94,041.84/145,778.48 = 145,778.48/x
  3. Step 3: Cross multiply
    94,041.84x = 145,778.48 × 145,778.48
  4. Step 4: Simplify right side
    94,041.84x = 21,251,366,506.67
  5. Step 5: Solve for x
    x = 21,251,366,506.67/94,041.84
  6. Step 6: Final answer
    x = 225,977.77

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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.