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Finding the Third Proportional to 127,522.69 and 187,395.19

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Solution

The third proportional to 127,522.69 and 187,395.19 is: 275,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,522.69 : 187,395.19 = 187,395.19 : x
  2. Step 2: Convert to fraction form
    127,522.69/187,395.19 = 187,395.19/x
  3. Step 3: Cross multiply
    127,522.69x = 187,395.19 × 187,395.19
  4. Step 4: Simplify right side
    127,522.69x = 35,116,956,298.16
  5. Step 5: Solve for x
    x = 35,116,956,298.16/127,522.69
  6. Step 6: Final answer
    x = 275,378.11

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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.