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Finding the Third Proportional to 76,342.50 and 162,829.50

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Solution

The third proportional to 76,342.50 and 162,829.50 is: 347,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,342.50 : 162,829.50 = 162,829.50 : x
  2. Step 2: Convert to fraction form
    76,342.50/162,829.50 = 162,829.50/x
  3. Step 3: Cross multiply
    76,342.50x = 162,829.50 × 162,829.50
  4. Step 4: Simplify right side
    76,342.50x = 26,513,446,070.25
  5. Step 5: Solve for x
    x = 26,513,446,070.25/76,342.50
  6. Step 6: Final answer
    x = 347,296.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.