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Finding the Third Proportional to 97,278 and 145,914

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Solution

The third proportional to 97,278 and 145,914 is: 218,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,278 : 145,914 = 145,914 : x
  2. Step 2: Convert to fraction form
    97,278/145,914 = 145,914/x
  3. Step 3: Cross multiply
    97,278x = 145,914 × 145,914
  4. Step 4: Simplify right side
    97,278x = 21,290,895,396
  5. Step 5: Solve for x
    x = 21,290,895,396/97,278
  6. Step 6: Final answer
    x = 218,866.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.