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Finding the Third Proportional to 58,237 and 124,784

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Solution

The third proportional to 58,237 and 124,784 is: 267,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,237 : 124,784 = 124,784 : x
  2. Step 2: Convert to fraction form
    58,237/124,784 = 124,784/x
  3. Step 3: Cross multiply
    58,237x = 124,784 × 124,784
  4. Step 4: Simplify right side
    58,237x = 15,571,046,656
  5. Step 5: Solve for x
    x = 15,571,046,656/58,237
  6. Step 6: Final answer
    x = 267,373.78

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Why These Related Problems?

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