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Finding the Third Proportional to 58,235 and 124,780

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Solution

The third proportional to 58,235 and 124,780 is: 267,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,235 : 124,780 = 124,780 : x
  2. Step 2: Convert to fraction form
    58,235/124,780 = 124,780/x
  3. Step 3: Cross multiply
    58,235x = 124,780 × 124,780
  4. Step 4: Simplify right side
    58,235x = 15,570,048,400
  5. Step 5: Solve for x
    x = 15,570,048,400/58,235
  6. Step 6: Final answer
    x = 267,365.82

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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.