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Finding the Third Proportional to 124,650 and 271,858.50

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Solution

The third proportional to 124,650 and 271,858.50 is: 592,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,650 : 271,858.50 = 271,858.50 : x
  2. Step 2: Convert to fraction form
    124,650/271,858.50 = 271,858.50/x
  3. Step 3: Cross multiply
    124,650x = 271,858.50 × 271,858.50
  4. Step 4: Simplify right side
    124,650x = 73,907,044,022.25
  5. Step 5: Solve for x
    x = 73,907,044,022.25/124,650
  6. Step 6: Final answer
    x = 592,916.52

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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.