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Finding the Third Proportional to 51,594 and 77,154

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Solution

The third proportional to 51,594 and 77,154 is: 115,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,594 : 77,154 = 77,154 : x
  2. Step 2: Convert to fraction form
    51,594/77,154 = 77,154/x
  3. Step 3: Cross multiply
    51,594x = 77,154 × 77,154
  4. Step 4: Simplify right side
    51,594x = 5,952,739,716
  5. Step 5: Solve for x
    x = 5,952,739,716/51,594
  6. Step 6: Final answer
    x = 115,376.59

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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.