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Finding the Third Proportional to 97,998 and 143,214

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Solution

The third proportional to 97,998 and 143,214 is: 209,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998 : 143,214 = 143,214 : x
  2. Step 2: Convert to fraction form
    97,998/143,214 = 143,214/x
  3. Step 3: Cross multiply
    97,998x = 143,214 × 143,214
  4. Step 4: Simplify right side
    97,998x = 20,510,249,796
  5. Step 5: Solve for x
    x = 20,510,249,796/97,998
  6. Step 6: Final answer
    x = 209,292.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.