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Finding the Third Proportional to 73,555.88 and 158,774.63

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Solution

The third proportional to 73,555.88 and 158,774.63 is: 342,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,555.88 : 158,774.63 = 158,774.63 : x
  2. Step 2: Convert to fraction form
    73,555.88/158,774.63 = 158,774.63/x
  3. Step 3: Cross multiply
    73,555.88x = 158,774.63 × 158,774.63
  4. Step 4: Simplify right side
    73,555.88x = 25,209,381,543.89
  5. Step 5: Solve for x
    x = 25,209,381,543.89/73,555.88
  6. Step 6: Final answer
    x = 342,724.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.