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Finding the Third Proportional to 63,458 and 94,447

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Solution

The third proportional to 63,458 and 94,447 is: 140,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,458 : 94,447 = 94,447 : x
  2. Step 2: Convert to fraction form
    63,458/94,447 = 94,447/x
  3. Step 3: Cross multiply
    63,458x = 94,447 × 94,447
  4. Step 4: Simplify right side
    63,458x = 8,920,235,809
  5. Step 5: Solve for x
    x = 8,920,235,809/63,458
  6. Step 6: Final answer
    x = 140,569.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.