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Finding the Third Proportional to 124,209 and 268,105.50

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Solution

The third proportional to 124,209 and 268,105.50 is: 578,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,209 : 268,105.50 = 268,105.50 : x
  2. Step 2: Convert to fraction form
    124,209/268,105.50 = 268,105.50/x
  3. Step 3: Cross multiply
    124,209x = 268,105.50 × 268,105.50
  4. Step 4: Simplify right side
    124,209x = 71,880,559,130.25
  5. Step 5: Solve for x
    x = 71,880,559,130.25/124,209
  6. Step 6: Final answer
    x = 578,706.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.