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Finding the Third Proportional to 127,232 and 187,046

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Solution

The third proportional to 127,232 and 187,046 is: 274,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,232 : 187,046 = 187,046 : x
  2. Step 2: Convert to fraction form
    127,232/187,046 = 187,046/x
  3. Step 3: Cross multiply
    127,232x = 187,046 × 187,046
  4. Step 4: Simplify right side
    127,232x = 34,986,206,116
  5. Step 5: Solve for x
    x = 34,986,206,116/127,232
  6. Step 6: Final answer
    x = 274,979.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.