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Finding the Third Proportional to 78,046 and 168,572

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Solution

The third proportional to 78,046 and 168,572 is: 364,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046 : 168,572 = 168,572 : x
  2. Step 2: Convert to fraction form
    78,046/168,572 = 168,572/x
  3. Step 3: Cross multiply
    78,046x = 168,572 × 168,572
  4. Step 4: Simplify right side
    78,046x = 28,416,519,184
  5. Step 5: Solve for x
    x = 28,416,519,184/78,046
  6. Step 6: Final answer
    x = 364,099.62

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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.