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Finding the Third Proportional to 61,455.75 and 93,465.75

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Solution

The third proportional to 61,455.75 and 93,465.75 is: 142,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,455.75 : 93,465.75 = 93,465.75 : x
  2. Step 2: Convert to fraction form
    61,455.75/93,465.75 = 93,465.75/x
  3. Step 3: Cross multiply
    61,455.75x = 93,465.75 × 93,465.75
  4. Step 4: Simplify right side
    61,455.75x = 8,735,846,423.06
  5. Step 5: Solve for x
    x = 8,735,846,423.06/61,455.75
  6. Step 6: Final answer
    x = 142,148.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.