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Finding the Third Proportional to 53,827.98 and 115,881.89

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Solution

The third proportional to 53,827.98 and 115,881.89 is: 249,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827.98 : 115,881.89 = 115,881.89 : x
  2. Step 2: Convert to fraction form
    53,827.98/115,881.89 = 115,881.89/x
  3. Step 3: Cross multiply
    53,827.98x = 115,881.89 × 115,881.89
  4. Step 4: Simplify right side
    53,827.98x = 13,428,612,574.82
  5. Step 5: Solve for x
    x = 13,428,612,574.82/53,827.98
  6. Step 6: Final answer
    x = 249,472.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.