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Finding the Third Proportional to 108,564 and 172,318.50

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Solution

The third proportional to 108,564 and 172,318.50 is: 273,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,564 : 172,318.50 = 172,318.50 : x
  2. Step 2: Convert to fraction form
    108,564/172,318.50 = 172,318.50/x
  3. Step 3: Cross multiply
    108,564x = 172,318.50 × 172,318.50
  4. Step 4: Simplify right side
    108,564x = 29,693,665,442.25
  5. Step 5: Solve for x
    x = 29,693,665,442.25/108,564
  6. Step 6: Final answer
    x = 273,513.00

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.