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Finding the Third Proportional to 61,402 and 91,723

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Solution

The third proportional to 61,402 and 91,723 is: 137,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,402 : 91,723 = 91,723 : x
  2. Step 2: Convert to fraction form
    61,402/91,723 = 91,723/x
  3. Step 3: Cross multiply
    61,402x = 91,723 × 91,723
  4. Step 4: Simplify right side
    61,402x = 8,413,108,729
  5. Step 5: Solve for x
    x = 8,413,108,729/61,402
  6. Step 6: Final answer
    x = 137,016.85

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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.