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Finding the Third Proportional to 65,006 and 97,084

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Solution

The third proportional to 65,006 and 97,084 is: 144,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006 : 97,084 = 97,084 : x
  2. Step 2: Convert to fraction form
    65,006/97,084 = 97,084/x
  3. Step 3: Cross multiply
    65,006x = 97,084 × 97,084
  4. Step 4: Simplify right side
    65,006x = 9,425,303,056
  5. Step 5: Solve for x
    x = 9,425,303,056/65,006
  6. Step 6: Final answer
    x = 144,991.28

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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.