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Finding the Third Proportional to 112,095.14 and 163,831.36

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Solution

The third proportional to 112,095.14 and 163,831.36 is: 239,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,095.14 : 163,831.36 = 163,831.36 : x
  2. Step 2: Convert to fraction form
    112,095.14/163,831.36 = 163,831.36/x
  3. Step 3: Cross multiply
    112,095.14x = 163,831.36 × 163,831.36
  4. Step 4: Simplify right side
    112,095.14x = 26,840,714,314.66
  5. Step 5: Solve for x
    x = 26,840,714,314.66/112,095.14
  6. Step 6: Final answer
    x = 239,445.83

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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.