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Finding the Third Proportional to 124,132 and 265,759.50

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Solution

The third proportional to 124,132 and 265,759.50 is: 568,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,132 : 265,759.50 = 265,759.50 : x
  2. Step 2: Convert to fraction form
    124,132/265,759.50 = 265,759.50/x
  3. Step 3: Cross multiply
    124,132x = 265,759.50 × 265,759.50
  4. Step 4: Simplify right side
    124,132x = 70,628,111,840.25
  5. Step 5: Solve for x
    x = 70,628,111,840.25/124,132
  6. Step 6: Final answer
    x = 568,975.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.