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Finding the Third Proportional to 73,970 and 161,572

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Solution

The third proportional to 73,970 and 161,572 is: 352,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,970 : 161,572 = 161,572 : x
  2. Step 2: Convert to fraction form
    73,970/161,572 = 161,572/x
  3. Step 3: Cross multiply
    73,970x = 161,572 × 161,572
  4. Step 4: Simplify right side
    73,970x = 26,105,511,184
  5. Step 5: Solve for x
    x = 26,105,511,184/73,970
  6. Step 6: Final answer
    x = 352,920.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.