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Finding the Third Proportional to 63,380.25 and 97,428.50

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Solution

The third proportional to 63,380.25 and 97,428.50 is: 149,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,380.25 : 97,428.50 = 97,428.50 : x
  2. Step 2: Convert to fraction form
    63,380.25/97,428.50 = 97,428.50/x
  3. Step 3: Cross multiply
    63,380.25x = 97,428.50 × 97,428.50
  4. Step 4: Simplify right side
    63,380.25x = 9,492,312,612.25
  5. Step 5: Solve for x
    x = 9,492,312,612.25/63,380.25
  6. Step 6: Final answer
    x = 149,767.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.