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Finding the Third Proportional to 48,656.25 and 103,590

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Solution

The third proportional to 48,656.25 and 103,590 is: 220,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656.25 : 103,590 = 103,590 : x
  2. Step 2: Convert to fraction form
    48,656.25/103,590 = 103,590/x
  3. Step 3: Cross multiply
    48,656.25x = 103,590 × 103,590
  4. Step 4: Simplify right side
    48,656.25x = 10,730,888,100
  5. Step 5: Solve for x
    x = 10,730,888,100/48,656.25
  6. Step 6: Final answer
    x = 220,544.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.