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Finding the Third Proportional to 61,264.27 and 132,706.69

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Solution

The third proportional to 61,264.27 and 132,706.69 is: 287,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,264.27 : 132,706.69 = 132,706.69 : x
  2. Step 2: Convert to fraction form
    61,264.27/132,706.69 = 132,706.69/x
  3. Step 3: Cross multiply
    61,264.27x = 132,706.69 × 132,706.69
  4. Step 4: Simplify right side
    61,264.27x = 17,611,064,907.22
  5. Step 5: Solve for x
    x = 17,611,064,907.22/61,264.27
  6. Step 6: Final answer
    x = 287,460.64

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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.