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Finding the Third Proportional to 54,855 and 82,957.50

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Solution

The third proportional to 54,855 and 82,957.50 is: 125,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855 : 82,957.50 = 82,957.50 : x
  2. Step 2: Convert to fraction form
    54,855/82,957.50 = 82,957.50/x
  3. Step 3: Cross multiply
    54,855x = 82,957.50 × 82,957.50
  4. Step 4: Simplify right side
    54,855x = 6,881,946,806.25
  5. Step 5: Solve for x
    x = 6,881,946,806.25/54,855
  6. Step 6: Final answer
    x = 125,457.06

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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.