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Finding the Third Proportional to 51,852.66 and 112,007.81

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Solution

The third proportional to 51,852.66 and 112,007.81 is: 241,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852.66 : 112,007.81 = 112,007.81 : x
  2. Step 2: Convert to fraction form
    51,852.66/112,007.81 = 112,007.81/x
  3. Step 3: Cross multiply
    51,852.66x = 112,007.81 × 112,007.81
  4. Step 4: Simplify right side
    51,852.66x = 12,545,750,061.04
  5. Step 5: Solve for x
    x = 12,545,750,061.04/51,852.66
  6. Step 6: Final answer
    x = 241,950.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.