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Finding the Third Proportional to 108,531 and 169,741.50

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Solution

The third proportional to 108,531 and 169,741.50 is: 265,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,531 : 169,741.50 = 169,741.50 : x
  2. Step 2: Convert to fraction form
    108,531/169,741.50 = 169,741.50/x
  3. Step 3: Cross multiply
    108,531x = 169,741.50 × 169,741.50
  4. Step 4: Simplify right side
    108,531x = 28,812,176,822.25
  5. Step 5: Solve for x
    x = 28,812,176,822.25/108,531
  6. Step 6: Final answer
    x = 265,474.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.