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Finding the Third Proportional to 52,042.50 and 112,370.63

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Solution

The third proportional to 52,042.50 and 112,370.63 is: 242,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042.50 : 112,370.63 = 112,370.63 : x
  2. Step 2: Convert to fraction form
    52,042.50/112,370.63 = 112,370.63/x
  3. Step 3: Cross multiply
    52,042.50x = 112,370.63 × 112,370.63
  4. Step 4: Simplify right side
    52,042.50x = 12,627,157,362.89
  5. Step 5: Solve for x
    x = 12,627,157,362.89/52,042.50
  6. Step 6: Final answer
    x = 242,631.64

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