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Finding the Third Proportional to 63,058 and 94,596

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Solution

The third proportional to 63,058 and 94,596 is: 141,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,058 : 94,596 = 94,596 : x
  2. Step 2: Convert to fraction form
    63,058/94,596 = 94,596/x
  3. Step 3: Cross multiply
    63,058x = 94,596 × 94,596
  4. Step 4: Simplify right side
    63,058x = 8,948,403,216
  5. Step 5: Solve for x
    x = 8,948,403,216/63,058
  6. Step 6: Final answer
    x = 141,907.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.