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Finding the Third Proportional to 54,806 and 119,530.50

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Solution

The third proportional to 54,806 and 119,530.50 is: 260,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,806 : 119,530.50 = 119,530.50 : x
  2. Step 2: Convert to fraction form
    54,806/119,530.50 = 119,530.50/x
  3. Step 3: Cross multiply
    54,806x = 119,530.50 × 119,530.50
  4. Step 4: Simplify right side
    54,806x = 14,287,540,430.25
  5. Step 5: Solve for x
    x = 14,287,540,430.25/54,806
  6. Step 6: Final answer
    x = 260,693.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.