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Finding the Third Proportional to 64,062 and 93,624

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Solution

The third proportional to 64,062 and 93,624 is: 136,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,062 : 93,624 = 93,624 : x
  2. Step 2: Convert to fraction form
    64,062/93,624 = 93,624/x
  3. Step 3: Cross multiply
    64,062x = 93,624 × 93,624
  4. Step 4: Simplify right side
    64,062x = 8,765,453,376
  5. Step 5: Solve for x
    x = 8,765,453,376/64,062
  6. Step 6: Final answer
    x = 136,827.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.