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Finding the Third Proportional to 53,258.77 and 116,051.06

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Solution

The third proportional to 53,258.77 and 116,051.06 is: 252,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,258.77 : 116,051.06 = 116,051.06 : x
  2. Step 2: Convert to fraction form
    53,258.77/116,051.06 = 116,051.06/x
  3. Step 3: Cross multiply
    53,258.77x = 116,051.06 × 116,051.06
  4. Step 4: Simplify right side
    53,258.77x = 13,467,849,107.38
  5. Step 5: Solve for x
    x = 13,467,849,107.38/53,258.77
  6. Step 6: Final answer
    x = 252,875.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.