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Finding the Third Proportional to 121,044 and 258,705

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Solution

The third proportional to 121,044 and 258,705 is: 552,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,044 : 258,705 = 258,705 : x
  2. Step 2: Convert to fraction form
    121,044/258,705 = 258,705/x
  3. Step 3: Cross multiply
    121,044x = 258,705 × 258,705
  4. Step 4: Simplify right side
    121,044x = 66,928,277,025
  5. Step 5: Solve for x
    x = 66,928,277,025/121,044
  6. Step 6: Final answer
    x = 552,925.19

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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.