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Finding the Third Proportional to 98,614.50 and 144,769.50

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Solution

The third proportional to 98,614.50 and 144,769.50 is: 212,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,614.50 : 144,769.50 = 144,769.50 : x
  2. Step 2: Convert to fraction form
    98,614.50/144,769.50 = 144,769.50/x
  3. Step 3: Cross multiply
    98,614.50x = 144,769.50 × 144,769.50
  4. Step 4: Simplify right side
    98,614.50x = 20,958,208,130.25
  5. Step 5: Solve for x
    x = 20,958,208,130.25/98,614.50
  6. Step 6: Final answer
    x = 212,526.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.