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Finding the Third Proportional to 42,152.06 and 63,506.53

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Solution

The third proportional to 42,152.06 and 63,506.53 is: 95,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,152.06 : 63,506.53 = 63,506.53 : x
  2. Step 2: Convert to fraction form
    42,152.06/63,506.53 = 63,506.53/x
  3. Step 3: Cross multiply
    42,152.06x = 63,506.53 × 63,506.53
  4. Step 4: Simplify right side
    42,152.06x = 4,033,079,511.41
  5. Step 5: Solve for x
    x = 4,033,079,511.41/42,152.06
  6. Step 6: Final answer
    x = 95,679.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.