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Finding the Third Proportional to 61,600.50 and 133,032.38

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Solution

The third proportional to 61,600.50 and 133,032.38 is: 287,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,600.50 : 133,032.38 = 133,032.38 : x
  2. Step 2: Convert to fraction form
    61,600.50/133,032.38 = 133,032.38/x
  3. Step 3: Cross multiply
    61,600.50x = 133,032.38 × 133,032.38
  4. Step 4: Simplify right side
    61,600.50x = 17,697,612,798.14
  5. Step 5: Solve for x
    x = 17,697,612,798.14/61,600.50
  6. Step 6: Final answer
    x = 287,296.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.