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Finding the Third Proportional to 74,506 and 162,110

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Solution

The third proportional to 74,506 and 162,110 is: 352,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,506 : 162,110 = 162,110 : x
  2. Step 2: Convert to fraction form
    74,506/162,110 = 162,110/x
  3. Step 3: Cross multiply
    74,506x = 162,110 × 162,110
  4. Step 4: Simplify right side
    74,506x = 26,279,652,100
  5. Step 5: Solve for x
    x = 26,279,652,100/74,506
  6. Step 6: Final answer
    x = 352,718.60

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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.