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Finding the Third Proportional to 53,634.38 and 115,702.88

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Solution

The third proportional to 53,634.38 and 115,702.88 is: 249,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,634.38 : 115,702.88 = 115,702.88 : x
  2. Step 2: Convert to fraction form
    53,634.38/115,702.88 = 115,702.88/x
  3. Step 3: Cross multiply
    53,634.38x = 115,702.88 × 115,702.88
  4. Step 4: Simplify right side
    53,634.38x = 13,387,155,283.27
  5. Step 5: Solve for x
    x = 13,387,155,283.27/53,634.38
  6. Step 6: Final answer
    x = 249,600.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.