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Finding the Third Proportional to 74,892 and 163,009.50

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Solution

The third proportional to 74,892 and 163,009.50 is: 354,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,892 : 163,009.50 = 163,009.50 : x
  2. Step 2: Convert to fraction form
    74,892/163,009.50 = 163,009.50/x
  3. Step 3: Cross multiply
    74,892x = 163,009.50 × 163,009.50
  4. Step 4: Simplify right side
    74,892x = 26,572,097,090.25
  5. Step 5: Solve for x
    x = 26,572,097,090.25/74,892
  6. Step 6: Final answer
    x = 354,805.55

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