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Finding the Third Proportional to 51,442.50 and 77,300.63

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Solution

The third proportional to 51,442.50 and 77,300.63 is: 116,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,442.50 : 77,300.63 = 77,300.63 : x
  2. Step 2: Convert to fraction form
    51,442.50/77,300.63 = 77,300.63/x
  3. Step 3: Cross multiply
    51,442.50x = 77,300.63 × 77,300.63
  4. Step 4: Simplify right side
    51,442.50x = 5,975,386,625.39
  5. Step 5: Solve for x
    x = 5,975,386,625.39/51,442.50
  6. Step 6: Final answer
    x = 116,156.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.