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Finding the Third Proportional to 76,852.55 and 116,303.98

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Solution

The third proportional to 76,852.55 and 116,303.98 is: 176,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852.55 : 116,303.98 = 116,303.98 : x
  2. Step 2: Convert to fraction form
    76,852.55/116,303.98 = 116,303.98/x
  3. Step 3: Cross multiply
    76,852.55x = 116,303.98 × 116,303.98
  4. Step 4: Simplify right side
    76,852.55x = 13,526,614,964.25
  5. Step 5: Solve for x
    x = 13,526,614,964.25/76,852.55
  6. Step 6: Final answer
    x = 176,007.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.