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Finding the Third Proportional to 127,440 and 202,456.13

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Solution

The third proportional to 127,440 and 202,456.13 is: 321,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,440 : 202,456.13 = 202,456.13 : x
  2. Step 2: Convert to fraction form
    127,440/202,456.13 = 202,456.13/x
  3. Step 3: Cross multiply
    127,440x = 202,456.13 × 202,456.13
  4. Step 4: Simplify right side
    127,440x = 40,988,482,550.02
  5. Step 5: Solve for x
    x = 40,988,482,550.02/127,440
  6. Step 6: Final answer
    x = 321,629.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.