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Finding the Third Proportional to 107,312.50 and 145,744.50

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Solution

The third proportional to 107,312.50 and 145,744.50 is: 197,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,312.50 : 145,744.50 = 145,744.50 : x
  2. Step 2: Convert to fraction form
    107,312.50/145,744.50 = 145,744.50/x
  3. Step 3: Cross multiply
    107,312.50x = 145,744.50 × 145,744.50
  4. Step 4: Simplify right side
    107,312.50x = 21,241,459,280.25
  5. Step 5: Solve for x
    x = 21,241,459,280.25/107,312.50
  6. Step 6: Final answer
    x = 197,940.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.