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Finding the Third Proportional to 52,699 and 93,701

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Solution

The third proportional to 52,699 and 93,701 is: 166,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,699 : 93,701 = 93,701 : x
  2. Step 2: Convert to fraction form
    52,699/93,701 = 93,701/x
  3. Step 3: Cross multiply
    52,699x = 93,701 × 93,701
  4. Step 4: Simplify right side
    52,699x = 8,779,877,401
  5. Step 5: Solve for x
    x = 8,779,877,401/52,699
  6. Step 6: Final answer
    x = 166,604.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.