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Finding the Third Proportional to 58,545 and 123,207

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Solution

The third proportional to 58,545 and 123,207 is: 259,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,545 : 123,207 = 123,207 : x
  2. Step 2: Convert to fraction form
    58,545/123,207 = 123,207/x
  3. Step 3: Cross multiply
    58,545x = 123,207 × 123,207
  4. Step 4: Simplify right side
    58,545x = 15,179,964,849
  5. Step 5: Solve for x
    x = 15,179,964,849/58,545
  6. Step 6: Final answer
    x = 259,287.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.