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Finding the Third Proportional to 65,020 and 84,934

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Solution

The third proportional to 65,020 and 84,934 is: 110,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020 : 84,934 = 84,934 : x
  2. Step 2: Convert to fraction form
    65,020/84,934 = 84,934/x
  3. Step 3: Cross multiply
    65,020x = 84,934 × 84,934
  4. Step 4: Simplify right side
    65,020x = 7,213,784,356
  5. Step 5: Solve for x
    x = 7,213,784,356/65,020
  6. Step 6: Final answer
    x = 110,947.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.