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Finding the Third Proportional to 59,466 and 78,907

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Solution

The third proportional to 59,466 and 78,907 is: 104,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,466 : 78,907 = 78,907 : x
  2. Step 2: Convert to fraction form
    59,466/78,907 = 78,907/x
  3. Step 3: Cross multiply
    59,466x = 78,907 × 78,907
  4. Step 4: Simplify right side
    59,466x = 6,226,314,649
  5. Step 5: Solve for x
    x = 6,226,314,649/59,466
  6. Step 6: Final answer
    x = 104,703.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.