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Finding the Third Proportional to 61,290 and 96,306

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Solution

The third proportional to 61,290 and 96,306 is: 151,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290 : 96,306 = 96,306 : x
  2. Step 2: Convert to fraction form
    61,290/96,306 = 96,306/x
  3. Step 3: Cross multiply
    61,290x = 96,306 × 96,306
  4. Step 4: Simplify right side
    61,290x = 9,274,845,636
  5. Step 5: Solve for x
    x = 9,274,845,636/61,290
  6. Step 6: Final answer
    x = 151,327.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.