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Finding the Third Proportional to 58,654.13 and 127,784.25

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Solution

The third proportional to 58,654.13 and 127,784.25 is: 278,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,654.13 : 127,784.25 = 127,784.25 : x
  2. Step 2: Convert to fraction form
    58,654.13/127,784.25 = 127,784.25/x
  3. Step 3: Cross multiply
    58,654.13x = 127,784.25 × 127,784.25
  4. Step 4: Simplify right side
    58,654.13x = 16,328,814,548.06
  5. Step 5: Solve for x
    x = 16,328,814,548.06/58,654.13
  6. Step 6: Final answer
    x = 278,391.58

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Why These Related Problems?

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