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Finding the Third Proportional to 92,012.25 and 130,482.75

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Solution

The third proportional to 92,012.25 and 130,482.75 is: 185,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,012.25 : 130,482.75 = 130,482.75 : x
  2. Step 2: Convert to fraction form
    92,012.25/130,482.75 = 130,482.75/x
  3. Step 3: Cross multiply
    92,012.25x = 130,482.75 × 130,482.75
  4. Step 4: Simplify right side
    92,012.25x = 17,025,748,047.56
  5. Step 5: Solve for x
    x = 17,025,748,047.56/92,012.25
  6. Step 6: Final answer
    x = 185,037.84

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.