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Finding the Third Proportional to 106,827 and 158,593.50

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Solution

The third proportional to 106,827 and 158,593.50 is: 235,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,827 : 158,593.50 = 158,593.50 : x
  2. Step 2: Convert to fraction form
    106,827/158,593.50 = 158,593.50/x
  3. Step 3: Cross multiply
    106,827x = 158,593.50 × 158,593.50
  4. Step 4: Simplify right side
    106,827x = 25,151,898,242.25
  5. Step 5: Solve for x
    x = 25,151,898,242.25/106,827
  6. Step 6: Final answer
    x = 235,445.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.