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Finding the Third Proportional to 46,188.98 and 76,385.53

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Solution

The third proportional to 46,188.98 and 76,385.53 is: 126,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,188.98 : 76,385.53 = 76,385.53 : x
  2. Step 2: Convert to fraction form
    46,188.98/76,385.53 = 76,385.53/x
  3. Step 3: Cross multiply
    46,188.98x = 76,385.53 × 76,385.53
  4. Step 4: Simplify right side
    46,188.98x = 5,834,749,384.34
  5. Step 5: Solve for x
    x = 5,834,749,384.34/46,188.98
  6. Step 6: Final answer
    x = 126,323.40

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.