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Finding the Third Proportional to 52,831.13 and 124,590.09

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Solution

The third proportional to 52,831.13 and 124,590.09 is: 293,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,831.13 : 124,590.09 = 124,590.09 : x
  2. Step 2: Convert to fraction form
    52,831.13/124,590.09 = 124,590.09/x
  3. Step 3: Cross multiply
    52,831.13x = 124,590.09 × 124,590.09
  4. Step 4: Simplify right side
    52,831.13x = 15,522,691,460.63
  5. Step 5: Solve for x
    x = 15,522,691,460.63/52,831.13
  6. Step 6: Final answer
    x = 293,817.17

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.