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Finding the Third Proportional to 60,164.06 and 128,869.13

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Solution

The third proportional to 60,164.06 and 128,869.13 is: 276,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,164.06 : 128,869.13 = 128,869.13 : x
  2. Step 2: Convert to fraction form
    60,164.06/128,869.13 = 128,869.13/x
  3. Step 3: Cross multiply
    60,164.06x = 128,869.13 × 128,869.13
  4. Step 4: Simplify right side
    60,164.06x = 16,607,251,378.27
  5. Step 5: Solve for x
    x = 16,607,251,378.27/60,164.06
  6. Step 6: Final answer
    x = 276,032.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.