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Finding the Third Proportional to 108,757 and 159,541.50

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Solution

The third proportional to 108,757 and 159,541.50 is: 234,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,757 : 159,541.50 = 159,541.50 : x
  2. Step 2: Convert to fraction form
    108,757/159,541.50 = 159,541.50/x
  3. Step 3: Cross multiply
    108,757x = 159,541.50 × 159,541.50
  4. Step 4: Simplify right side
    108,757x = 25,453,490,222.25
  5. Step 5: Solve for x
    x = 25,453,490,222.25/108,757
  6. Step 6: Final answer
    x = 234,040.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.