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Finding the Third Proportional to 76,572 and 168,232

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Solution

The third proportional to 76,572 and 168,232 is: 369,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,572 : 168,232 = 168,232 : x
  2. Step 2: Convert to fraction form
    76,572/168,232 = 168,232/x
  3. Step 3: Cross multiply
    76,572x = 168,232 × 168,232
  4. Step 4: Simplify right side
    76,572x = 28,302,005,824
  5. Step 5: Solve for x
    x = 28,302,005,824/76,572
  6. Step 6: Final answer
    x = 369,612.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.