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Finding the Third Proportional to 71,368 and 93,868

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Solution

The third proportional to 71,368 and 93,868 is: 123,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,368 : 93,868 = 93,868 : x
  2. Step 2: Convert to fraction form
    71,368/93,868 = 93,868/x
  3. Step 3: Cross multiply
    71,368x = 93,868 × 93,868
  4. Step 4: Simplify right side
    71,368x = 8,811,201,424
  5. Step 5: Solve for x
    x = 8,811,201,424/71,368
  6. Step 6: Final answer
    x = 123,461.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.