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Finding the Third Proportional to 100,471.13 and 136,820.25

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Solution

The third proportional to 100,471.13 and 136,820.25 is: 186,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471.13 : 136,820.25 = 136,820.25 : x
  2. Step 2: Convert to fraction form
    100,471.13/136,820.25 = 136,820.25/x
  3. Step 3: Cross multiply
    100,471.13x = 136,820.25 × 136,820.25
  4. Step 4: Simplify right side
    100,471.13x = 18,719,780,810.06
  5. Step 5: Solve for x
    x = 18,719,780,810.06/100,471.13
  6. Step 6: Final answer
    x = 186,320.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.