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Finding the Third Proportional to 53,258.29 and 116,538.91

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Solution

The third proportional to 53,258.29 and 116,538.91 is: 255,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,258.29 : 116,538.91 = 116,538.91 : x
  2. Step 2: Convert to fraction form
    53,258.29/116,538.91 = 116,538.91/x
  3. Step 3: Cross multiply
    53,258.29x = 116,538.91 × 116,538.91
  4. Step 4: Simplify right side
    53,258.29x = 13,581,317,125.18
  5. Step 5: Solve for x
    x = 13,581,317,125.18/53,258.29
  6. Step 6: Final answer
    x = 255,008.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.