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Finding the Third Proportional to 75,273.52 and 110,831.02

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Solution

The third proportional to 75,273.52 and 110,831.02 is: 163,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,273.52 : 110,831.02 = 110,831.02 : x
  2. Step 2: Convert to fraction form
    75,273.52/110,831.02 = 110,831.02/x
  3. Step 3: Cross multiply
    75,273.52x = 110,831.02 × 110,831.02
  4. Step 4: Simplify right side
    75,273.52x = 12,283,514,673.87
  5. Step 5: Solve for x
    x = 12,283,514,673.87/75,273.52
  6. Step 6: Final answer
    x = 163,185.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.