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Finding the Third Proportional to 53,262 and 114,826.50

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Solution

The third proportional to 53,262 and 114,826.50 is: 247,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,262 : 114,826.50 = 114,826.50 : x
  2. Step 2: Convert to fraction form
    53,262/114,826.50 = 114,826.50/x
  3. Step 3: Cross multiply
    53,262x = 114,826.50 × 114,826.50
  4. Step 4: Simplify right side
    53,262x = 13,185,125,102.25
  5. Step 5: Solve for x
    x = 13,185,125,102.25/53,262
  6. Step 6: Final answer
    x = 247,552.20

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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.