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Finding the Third Proportional to 118,314 and 131,152.50

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Solution

The third proportional to 118,314 and 131,152.50 is: 145,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,314 : 131,152.50 = 131,152.50 : x
  2. Step 2: Convert to fraction form
    118,314/131,152.50 = 131,152.50/x
  3. Step 3: Cross multiply
    118,314x = 131,152.50 × 131,152.50
  4. Step 4: Simplify right side
    118,314x = 17,200,978,256.25
  5. Step 5: Solve for x
    x = 17,200,978,256.25/118,314
  6. Step 6: Final answer
    x = 145,384.13

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.