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Finding the Third Proportional to 61,501.50 and 83,463.75

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Solution

The third proportional to 61,501.50 and 83,463.75 is: 113,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,501.50 : 83,463.75 = 83,463.75 : x
  2. Step 2: Convert to fraction form
    61,501.50/83,463.75 = 83,463.75/x
  3. Step 3: Cross multiply
    61,501.50x = 83,463.75 × 83,463.75
  4. Step 4: Simplify right side
    61,501.50x = 6,966,197,564.06
  5. Step 5: Solve for x
    x = 6,966,197,564.06/61,501.50
  6. Step 6: Final answer
    x = 113,268.74

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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.