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Finding the Third Proportional to 134,939.50 and 296,123

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Solution

The third proportional to 134,939.50 and 296,123 is: 649,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,939.50 : 296,123 = 296,123 : x
  2. Step 2: Convert to fraction form
    134,939.50/296,123 = 296,123/x
  3. Step 3: Cross multiply
    134,939.50x = 296,123 × 296,123
  4. Step 4: Simplify right side
    134,939.50x = 87,688,831,129
  5. Step 5: Solve for x
    x = 87,688,831,129/134,939.50
  6. Step 6: Final answer
    x = 649,838.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.