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Finding the Third Proportional to 67,959 and 142,114.50

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Solution

The third proportional to 67,959 and 142,114.50 is: 297,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,959 : 142,114.50 = 142,114.50 : x
  2. Step 2: Convert to fraction form
    67,959/142,114.50 = 142,114.50/x
  3. Step 3: Cross multiply
    67,959x = 142,114.50 × 142,114.50
  4. Step 4: Simplify right side
    67,959x = 20,196,531,110.25
  5. Step 5: Solve for x
    x = 20,196,531,110.25/67,959
  6. Step 6: Final answer
    x = 297,187.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.