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Finding the Third Proportional to 61,509.38 and 94,825.69

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Solution

The third proportional to 61,509.38 and 94,825.69 is: 146,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509.38 : 94,825.69 = 94,825.69 : x
  2. Step 2: Convert to fraction form
    61,509.38/94,825.69 = 94,825.69/x
  3. Step 3: Cross multiply
    61,509.38x = 94,825.69 × 94,825.69
  4. Step 4: Simplify right side
    61,509.38x = 8,991,911,009.85
  5. Step 5: Solve for x
    x = 8,991,911,009.85/61,509.38
  6. Step 6: Final answer
    x = 146,187.65

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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.