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Finding the Third Proportional to 85,882 and 93,658

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Solution

The third proportional to 85,882 and 93,658 is: 102,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882 : 93,658 = 93,658 : x
  2. Step 2: Convert to fraction form
    85,882/93,658 = 93,658/x
  3. Step 3: Cross multiply
    85,882x = 93,658 × 93,658
  4. Step 4: Simplify right side
    85,882x = 8,771,820,964
  5. Step 5: Solve for x
    x = 8,771,820,964/85,882
  6. Step 6: Final answer
    x = 102,138.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.