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Finding the Third Proportional to 122,130.75 and 265,149.75

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Solution

The third proportional to 122,130.75 and 265,149.75 is: 575,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,130.75 : 265,149.75 = 265,149.75 : x
  2. Step 2: Convert to fraction form
    122,130.75/265,149.75 = 265,149.75/x
  3. Step 3: Cross multiply
    122,130.75x = 265,149.75 × 265,149.75
  4. Step 4: Simplify right side
    122,130.75x = 70,304,389,925.06
  5. Step 5: Solve for x
    x = 70,304,389,925.06/122,130.75
  6. Step 6: Final answer
    x = 575,648.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.