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Finding the Third Proportional to 112,015.13 and 177,455.81

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Solution

The third proportional to 112,015.13 and 177,455.81 is: 281,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,015.13 : 177,455.81 = 177,455.81 : x
  2. Step 2: Convert to fraction form
    112,015.13/177,455.81 = 177,455.81/x
  3. Step 3: Cross multiply
    112,015.13x = 177,455.81 × 177,455.81
  4. Step 4: Simplify right side
    112,015.13x = 31,490,565,390.04
  5. Step 5: Solve for x
    x = 31,490,565,390.04/112,015.13
  6. Step 6: Final answer
    x = 281,127.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.