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Finding the Third Proportional to 100,612.13 and 141,004.13

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Solution

The third proportional to 100,612.13 and 141,004.13 is: 197,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,612.13 : 141,004.13 = 141,004.13 : x
  2. Step 2: Convert to fraction form
    100,612.13/141,004.13 = 141,004.13/x
  3. Step 3: Cross multiply
    100,612.13x = 141,004.13 × 141,004.13
  4. Step 4: Simplify right side
    100,612.13x = 19,882,163,267.02
  5. Step 5: Solve for x
    x = 19,882,163,267.02/100,612.13
  6. Step 6: Final answer
    x = 197,612.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.