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Finding the Third Proportional to 63,506 and 94,947

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Solution

The third proportional to 63,506 and 94,947 is: 141,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,506 : 94,947 = 94,947 : x
  2. Step 2: Convert to fraction form
    63,506/94,947 = 94,947/x
  3. Step 3: Cross multiply
    63,506x = 94,947 × 94,947
  4. Step 4: Simplify right side
    63,506x = 9,014,932,809
  5. Step 5: Solve for x
    x = 9,014,932,809/63,506
  6. Step 6: Final answer
    x = 141,954.03

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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.