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Finding the Third Proportional to 53,498.92 and 112,965.10

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Solution

The third proportional to 53,498.92 and 112,965.10 is: 238,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,498.92 : 112,965.10 = 112,965.10 : x
  2. Step 2: Convert to fraction form
    53,498.92/112,965.10 = 112,965.10/x
  3. Step 3: Cross multiply
    53,498.92x = 112,965.10 × 112,965.10
  4. Step 4: Simplify right side
    53,498.92x = 12,761,113,729.76
  5. Step 5: Solve for x
    x = 12,761,113,729.76/53,498.92
  6. Step 6: Final answer
    x = 238,530.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.