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Finding the Third Proportional to 53,528.34 and 116,009.72

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Solution

The third proportional to 53,528.34 and 116,009.72 is: 251,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,528.34 : 116,009.72 = 116,009.72 : x
  2. Step 2: Convert to fraction form
    53,528.34/116,009.72 = 116,009.72/x
  3. Step 3: Cross multiply
    53,528.34x = 116,009.72 × 116,009.72
  4. Step 4: Simplify right side
    53,528.34x = 13,458,254,844.45
  5. Step 5: Solve for x
    x = 13,458,254,844.45/53,528.34
  6. Step 6: Final answer
    x = 251,422.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.