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Finding the Third Proportional to 61,065 and 132,574.50

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Solution

The third proportional to 61,065 and 132,574.50 is: 287,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,065 : 132,574.50 = 132,574.50 : x
  2. Step 2: Convert to fraction form
    61,065/132,574.50 = 132,574.50/x
  3. Step 3: Cross multiply
    61,065x = 132,574.50 × 132,574.50
  4. Step 4: Simplify right side
    61,065x = 17,575,998,050.25
  5. Step 5: Solve for x
    x = 17,575,998,050.25/61,065
  6. Step 6: Final answer
    x = 287,824.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.