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Finding the Third Proportional to 58,306 and 124,904

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Solution

The third proportional to 58,306 and 124,904 is: 267,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,306 : 124,904 = 124,904 : x
  2. Step 2: Convert to fraction form
    58,306/124,904 = 124,904/x
  3. Step 3: Cross multiply
    58,306x = 124,904 × 124,904
  4. Step 4: Simplify right side
    58,306x = 15,601,009,216
  5. Step 5: Solve for x
    x = 15,601,009,216/58,306
  6. Step 6: Final answer
    x = 267,571.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.