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Finding the Third Proportional to 122,553 and 184,862.25

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Solution

The third proportional to 122,553 and 184,862.25 is: 278,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,553 : 184,862.25 = 184,862.25 : x
  2. Step 2: Convert to fraction form
    122,553/184,862.25 = 184,862.25/x
  3. Step 3: Cross multiply
    122,553x = 184,862.25 × 184,862.25
  4. Step 4: Simplify right side
    122,553x = 34,174,051,475.06
  5. Step 5: Solve for x
    x = 34,174,051,475.06/122,553
  6. Step 6: Final answer
    x = 278,851.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.