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Finding the Third Proportional to 52,000.31 and 112,295.53

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Solution

The third proportional to 52,000.31 and 112,295.53 is: 242,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,000.31 : 112,295.53 = 112,295.53 : x
  2. Step 2: Convert to fraction form
    52,000.31/112,295.53 = 112,295.53/x
  3. Step 3: Cross multiply
    52,000.31x = 112,295.53 × 112,295.53
  4. Step 4: Simplify right side
    52,000.31x = 12,610,286,338.72
  5. Step 5: Solve for x
    x = 12,610,286,338.72/52,000.31
  6. Step 6: Final answer
    x = 242,504.05

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Why These Related Problems?

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