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Finding the Third Proportional to 51,116 and 77,594

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Solution

The third proportional to 51,116 and 77,594 is: 117,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,116 : 77,594 = 77,594 : x
  2. Step 2: Convert to fraction form
    51,116/77,594 = 77,594/x
  3. Step 3: Cross multiply
    51,116x = 77,594 × 77,594
  4. Step 4: Simplify right side
    51,116x = 6,020,828,836
  5. Step 5: Solve for x
    x = 6,020,828,836/51,116
  6. Step 6: Final answer
    x = 117,787.56

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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.