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Finding the Third Proportional to 61,098 and 91,071

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Solution

The third proportional to 61,098 and 91,071 is: 135,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,098 : 91,071 = 91,071 : x
  2. Step 2: Convert to fraction form
    61,098/91,071 = 91,071/x
  3. Step 3: Cross multiply
    61,098x = 91,071 × 91,071
  4. Step 4: Simplify right side
    61,098x = 8,293,927,041
  5. Step 5: Solve for x
    x = 8,293,927,041/61,098
  6. Step 6: Final answer
    x = 135,747.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.