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Finding the Third Proportional to 103,978.13 and 155,274.19

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Solution

The third proportional to 103,978.13 and 155,274.19 is: 231,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,978.13 : 155,274.19 = 155,274.19 : x
  2. Step 2: Convert to fraction form
    103,978.13/155,274.19 = 155,274.19/x
  3. Step 3: Cross multiply
    103,978.13x = 155,274.19 × 155,274.19
  4. Step 4: Simplify right side
    103,978.13x = 24,110,073,303.79
  5. Step 5: Solve for x
    x = 24,110,073,303.79/103,978.13
  6. Step 6: Final answer
    x = 231,876.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.