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Finding the Third Proportional to 73,602.75 and 159,652.50

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Solution

The third proportional to 73,602.75 and 159,652.50 is: 346,303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,602.75 : 159,652.50 = 159,652.50 : x
  2. Step 2: Convert to fraction form
    73,602.75/159,652.50 = 159,652.50/x
  3. Step 3: Cross multiply
    73,602.75x = 159,652.50 × 159,652.50
  4. Step 4: Simplify right side
    73,602.75x = 25,488,920,756.25
  5. Step 5: Solve for x
    x = 25,488,920,756.25/73,602.75
  6. Step 6: Final answer
    x = 346,303.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.