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Finding the Third Proportional to 97,460.50 and 145,786

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Solution

The third proportional to 97,460.50 and 145,786 is: 218,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,460.50 : 145,786 = 145,786 : x
  2. Step 2: Convert to fraction form
    97,460.50/145,786 = 145,786/x
  3. Step 3: Cross multiply
    97,460.50x = 145,786 × 145,786
  4. Step 4: Simplify right side
    97,460.50x = 21,253,557,796
  5. Step 5: Solve for x
    x = 21,253,557,796/97,460.50
  6. Step 6: Final answer
    x = 218,073.56

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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.