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Finding the Third Proportional to 94,392 and 141,804

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Solution

The third proportional to 94,392 and 141,804 is: 213,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,392 : 141,804 = 141,804 : x
  2. Step 2: Convert to fraction form
    94,392/141,804 = 141,804/x
  3. Step 3: Cross multiply
    94,392x = 141,804 × 141,804
  4. Step 4: Simplify right side
    94,392x = 20,108,374,416
  5. Step 5: Solve for x
    x = 20,108,374,416/94,392
  6. Step 6: Final answer
    x = 213,030.49

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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.