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Finding the Third Proportional to 113,076 and 149,510.81

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Solution

The third proportional to 113,076 and 149,510.81 is: 197,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,076 : 149,510.81 = 149,510.81 : x
  2. Step 2: Convert to fraction form
    113,076/149,510.81 = 149,510.81/x
  3. Step 3: Cross multiply
    113,076x = 149,510.81 × 149,510.81
  4. Step 4: Simplify right side
    113,076x = 22,353,483,054.41
  5. Step 5: Solve for x
    x = 22,353,483,054.41/113,076
  6. Step 6: Final answer
    x = 197,685.48

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.