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Finding the Third Proportional to 108,354 and 161,599.50

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Solution

The third proportional to 108,354 and 161,599.50 is: 241,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,354 : 161,599.50 = 161,599.50 : x
  2. Step 2: Convert to fraction form
    108,354/161,599.50 = 161,599.50/x
  3. Step 3: Cross multiply
    108,354x = 161,599.50 × 161,599.50
  4. Step 4: Simplify right side
    108,354x = 26,114,398,400.25
  5. Step 5: Solve for x
    x = 26,114,398,400.25/108,354
  6. Step 6: Final answer
    x = 241,010.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.