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Finding the Third Proportional to 59,252 and 78,292

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Solution

The third proportional to 59,252 and 78,292 is: 103,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,252 : 78,292 = 78,292 : x
  2. Step 2: Convert to fraction form
    59,252/78,292 = 78,292/x
  3. Step 3: Cross multiply
    59,252x = 78,292 × 78,292
  4. Step 4: Simplify right side
    59,252x = 6,129,637,264
  5. Step 5: Solve for x
    x = 6,129,637,264/59,252
  6. Step 6: Final answer
    x = 103,450.30

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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.