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Finding the Third Proportional to 124,641 and 271,840.50

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Solution

The third proportional to 124,641 and 271,840.50 is: 592,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,641 : 271,840.50 = 271,840.50 : x
  2. Step 2: Convert to fraction form
    124,641/271,840.50 = 271,840.50/x
  3. Step 3: Cross multiply
    124,641x = 271,840.50 × 271,840.50
  4. Step 4: Simplify right side
    124,641x = 73,897,257,440.25
  5. Step 5: Solve for x
    x = 73,897,257,440.25/124,641
  6. Step 6: Final answer
    x = 592,880.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.