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Finding the Third Proportional to 76,018.50 and 161,878.50

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Solution

The third proportional to 76,018.50 and 161,878.50 is: 344,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,018.50 : 161,878.50 = 161,878.50 : x
  2. Step 2: Convert to fraction form
    76,018.50/161,878.50 = 161,878.50/x
  3. Step 3: Cross multiply
    76,018.50x = 161,878.50 × 161,878.50
  4. Step 4: Simplify right side
    76,018.50x = 26,204,648,762.25
  5. Step 5: Solve for x
    x = 26,204,648,762.25/76,018.50
  6. Step 6: Final answer
    x = 344,714.10

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