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Finding the Third Proportional to 69,301.50 and 127,804.13

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Solution

The third proportional to 69,301.50 and 127,804.13 is: 235,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,301.50 : 127,804.13 = 127,804.13 : x
  2. Step 2: Convert to fraction form
    69,301.50/127,804.13 = 127,804.13/x
  3. Step 3: Cross multiply
    69,301.50x = 127,804.13 × 127,804.13
  4. Step 4: Simplify right side
    69,301.50x = 16,333,894,367.02
  5. Step 5: Solve for x
    x = 16,333,894,367.02/69,301.50
  6. Step 6: Final answer
    x = 235,693.23

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.