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Finding the Third Proportional to 124,051 and 269,106.50

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Solution

The third proportional to 124,051 and 269,106.50 is: 583,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,051 : 269,106.50 = 269,106.50 : x
  2. Step 2: Convert to fraction form
    124,051/269,106.50 = 269,106.50/x
  3. Step 3: Cross multiply
    124,051x = 269,106.50 × 269,106.50
  4. Step 4: Simplify right side
    124,051x = 72,418,308,342.25
  5. Step 5: Solve for x
    x = 72,418,308,342.25/124,051
  6. Step 6: Final answer
    x = 583,778.51

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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.