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Finding the Third Proportional to 51,184 and 77,840

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Solution

The third proportional to 51,184 and 77,840 is: 118,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,184 : 77,840 = 77,840 : x
  2. Step 2: Convert to fraction form
    51,184/77,840 = 77,840/x
  3. Step 3: Cross multiply
    51,184x = 77,840 × 77,840
  4. Step 4: Simplify right side
    51,184x = 6,059,065,600
  5. Step 5: Solve for x
    x = 6,059,065,600/51,184
  6. Step 6: Final answer
    x = 118,378.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.