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Finding the Third Proportional to 58,230 and 124,770

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Solution

The third proportional to 58,230 and 124,770 is: 267,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,230 : 124,770 = 124,770 : x
  2. Step 2: Convert to fraction form
    58,230/124,770 = 124,770/x
  3. Step 3: Cross multiply
    58,230x = 124,770 × 124,770
  4. Step 4: Simplify right side
    58,230x = 15,567,552,900
  5. Step 5: Solve for x
    x = 15,567,552,900/58,230
  6. Step 6: Final answer
    x = 267,345.92

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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.