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Finding the Third Proportional to 61,335 and 89,982.75

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Solution

The third proportional to 61,335 and 89,982.75 is: 132,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,335 : 89,982.75 = 89,982.75 : x
  2. Step 2: Convert to fraction form
    61,335/89,982.75 = 89,982.75/x
  3. Step 3: Cross multiply
    61,335x = 89,982.75 × 89,982.75
  4. Step 4: Simplify right side
    61,335x = 8,096,895,297.56
  5. Step 5: Solve for x
    x = 8,096,895,297.56/61,335
  6. Step 6: Final answer
    x = 132,011.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.