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Finding the Third Proportional to 103,437 and 158,162.63

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Solution

The third proportional to 103,437 and 158,162.63 is: 241,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,437 : 158,162.63 = 158,162.63 : x
  2. Step 2: Convert to fraction form
    103,437/158,162.63 = 158,162.63/x
  3. Step 3: Cross multiply
    103,437x = 158,162.63 × 158,162.63
  4. Step 4: Simplify right side
    103,437x = 25,015,415,946.89
  5. Step 5: Solve for x
    x = 25,015,415,946.89/103,437
  6. Step 6: Final answer
    x = 241,842.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.