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Finding the Third Proportional to 108,036.50 and 163,545

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Solution

The third proportional to 108,036.50 and 163,545 is: 247,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,036.50 : 163,545 = 163,545 : x
  2. Step 2: Convert to fraction form
    108,036.50/163,545 = 163,545/x
  3. Step 3: Cross multiply
    108,036.50x = 163,545 × 163,545
  4. Step 4: Simplify right side
    108,036.50x = 26,746,967,025
  5. Step 5: Solve for x
    x = 26,746,967,025/108,036.50
  6. Step 6: Final answer
    x = 247,573.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.