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Finding the Third Proportional to 74,637 and 113,035.50

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Solution

The third proportional to 74,637 and 113,035.50 is: 171,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,637 : 113,035.50 = 113,035.50 : x
  2. Step 2: Convert to fraction form
    74,637/113,035.50 = 113,035.50/x
  3. Step 3: Cross multiply
    74,637x = 113,035.50 × 113,035.50
  4. Step 4: Simplify right side
    74,637x = 12,777,024,260.25
  5. Step 5: Solve for x
    x = 12,777,024,260.25/74,637
  6. Step 6: Final answer
    x = 171,188.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.