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Finding the Third Proportional to 71,101.50 and 83,403.50

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Solution

The third proportional to 71,101.50 and 83,403.50 is: 97,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,101.50 : 83,403.50 = 83,403.50 : x
  2. Step 2: Convert to fraction form
    71,101.50/83,403.50 = 83,403.50/x
  3. Step 3: Cross multiply
    71,101.50x = 83,403.50 × 83,403.50
  4. Step 4: Simplify right side
    71,101.50x = 6,956,143,812.25
  5. Step 5: Solve for x
    x = 6,956,143,812.25/71,101.50
  6. Step 6: Final answer
    x = 97,834.00

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.