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Finding the Third Proportional to 58,356 and 125,014

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Solution

The third proportional to 58,356 and 125,014 is: 267,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,356 : 125,014 = 125,014 : x
  2. Step 2: Convert to fraction form
    58,356/125,014 = 125,014/x
  3. Step 3: Cross multiply
    58,356x = 125,014 × 125,014
  4. Step 4: Simplify right side
    58,356x = 15,628,500,196
  5. Step 5: Solve for x
    x = 15,628,500,196/58,356
  6. Step 6: Final answer
    x = 267,813.08

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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.