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Finding the Third Proportional to 75,492.75 and 113,428.13

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Solution

The third proportional to 75,492.75 and 113,428.13 is: 170,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,492.75 : 113,428.13 = 113,428.13 : x
  2. Step 2: Convert to fraction form
    75,492.75/113,428.13 = 113,428.13/x
  3. Step 3: Cross multiply
    75,492.75x = 113,428.13 × 113,428.13
  4. Step 4: Simplify right side
    75,492.75x = 12,865,939,541.02
  5. Step 5: Solve for x
    x = 12,865,939,541.02/75,492.75
  6. Step 6: Final answer
    x = 170,426.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.