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Finding the Third Proportional to 97,789.50 and 155,433

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Solution

The third proportional to 97,789.50 and 155,433 is: 247,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,789.50 : 155,433 = 155,433 : x
  2. Step 2: Convert to fraction form
    97,789.50/155,433 = 155,433/x
  3. Step 3: Cross multiply
    97,789.50x = 155,433 × 155,433
  4. Step 4: Simplify right side
    97,789.50x = 24,159,417,489
  5. Step 5: Solve for x
    x = 24,159,417,489/97,789.50
  6. Step 6: Final answer
    x = 247,055.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.