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Finding the Third Proportional to 53,116.88 and 77,761.69

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Solution

The third proportional to 53,116.88 and 77,761.69 is: 113,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,116.88 : 77,761.69 = 77,761.69 : x
  2. Step 2: Convert to fraction form
    53,116.88/77,761.69 = 77,761.69/x
  3. Step 3: Cross multiply
    53,116.88x = 77,761.69 × 77,761.69
  4. Step 4: Simplify right side
    53,116.88x = 6,046,880,042.85
  5. Step 5: Solve for x
    x = 6,046,880,042.85/53,116.88
  6. Step 6: Final answer
    x = 113,841.04

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.