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Finding the Third Proportional to 98,642.81 and 144,273.66

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Solution

The third proportional to 98,642.81 and 144,273.66 is: 211,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642.81 : 144,273.66 = 144,273.66 : x
  2. Step 2: Convert to fraction form
    98,642.81/144,273.66 = 144,273.66/x
  3. Step 3: Cross multiply
    98,642.81x = 144,273.66 × 144,273.66
  4. Step 4: Simplify right side
    98,642.81x = 20,814,887,887.74
  5. Step 5: Solve for x
    x = 20,814,887,887.74/98,642.81
  6. Step 6: Final answer
    x = 211,012.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.